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Least common denominator:
((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
a/(a+b)+a^2/(b^2-a^2)
z-2/4*z^2+16*z+16/(z/2*z-4-z^2+4/2*z^2-8-2/z^2+2*z)
sqrt(a)-(a-1/a^2)/(sqrt(a)-1/sqrt(a))+(1-1/a^2)/(sqrt(a)+1/(sqrt(a)))+2/a^(3/2)
Factor polynomial:
x^2+x-2
x^4+x^3
y^3-y
y^2-100
Factor squared:
y^4+9*y^2-5
-y^4-8*y^2-8
-y^2-2*y*b+b^2
x^2-x-6
How do you in partial fractions?:
150/(1+150*((15*150)/(151*(1/10p+1))+(15/(260*(5p^2+p)))))
((9*b)/(a-b))*((a^2-a*b)/(54*b))
(z/(z+6)*(z+6))-(z/(z-6)*(z+6))
(2x+3)/(x^2-9)
Identical expressions
((x+ one)^ two *(eight *x- four))^(one / three)*(eight *(x+ one)^ two / three +(two + two *x)*(eight *x- four)/ three)/((x+ one)^ two *(eight *x- four))
((x plus 1) squared multiply by (8 multiply by x minus 4)) to the power of (1 divide by 3) multiply by (8 multiply by (x plus 1) squared divide by 3 plus (2 plus 2 multiply by x) multiply by (8 multiply by x minus 4) divide by 3) divide by ((x plus 1) squared multiply by (8 multiply by x minus 4))
((x plus one) to the power of two multiply by (eight multiply by x minus four)) to the power of (one divide by three) multiply by (eight multiply by (x plus one) to the power of two divide by three plus (two plus two multiply by x) multiply by (eight multiply by x minus four) divide by three) divide by ((x plus one) to the power of two multiply by (eight multiply by x minus four))
((x+1)2*(8*x-4))(1/3)*(8*(x+1)2/3+(2+2*x)*(8*x-4)/3)/((x+1)2*(8*x-4))
x+12*8*x-41/3*8*x+12/3+2+2*x*8*x-4/3/x+12*8*x-4
((x+1)²*(8*x-4))^(1/3)*(8*(x+1)²/3+(2+2*x)*(8*x-4)/3)/((x+1)²*(8*x-4))
((x+1) to the power of 2*(8*x-4)) to the power of (1/3)*(8*(x+1) to the power of 2/3+(2+2*x)*(8*x-4)/3)/((x+1) to the power of 2*(8*x-4))
((x+1)^2(8x-4))^(1/3)(8(x+1)^2/3+(2+2x)(8x-4)/3)/((x+1)^2(8x-4))
((x+1)2(8x-4))(1/3)(8(x+1)2/3+(2+2x)(8x-4)/3)/((x+1)2(8x-4))
x+128x-41/38x+12/3+2+2x8x-4/3/x+128x-4
x+1^28x-4^1/38x+1^2/3+2+2x8x-4/3/x+1^28x-4
((x+1)^2*(8*x-4))^(1 divide by 3)*(8*(x+1)^2 divide by 3+(2+2*x)*(8*x-4) divide by 3) divide by ((x+1)^2*(8*x-4))
Similar expressions
((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x+4))
((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2-2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
((x+1)^2*(8*x-4))^(1/3)*(8*(x-1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3-(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
((x+1)^2*(8*x+4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x+4)/3)/((x+1)^2*(8*x-4))
((x-1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x-1)^2*(8*x-4))

Expression simplification/ Least common denominator/ ((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))

Least common denominator ((x+1)^2(8x-4))^(1/3)(8(x+1)^2/3+(2+2x)(8x-4)/3)/((x+1)^2(8*x-4))

The solution

You have entered [src]

   ____________________ /         2                      \
3 /        2            |8*(x + 1)    (2 + 2*x)*(8*x - 4)|
\/  (x + 1) *(8*x - 4) *|---------- + -------------------|
                        \    3                 3         /
----------------------------------------------------------
                           2                              
                    (x + 1) *(8*x - 4)

$$\frac{\sqrt[3]{\left(x + 1\right)^{2} \left(8 x - 4\right)} \left(\frac{\left(2 x + 2\right) \left(8 x - 4\right)}{3} + \frac{8 \left(x + 1\right)^{2}}{3}\right)}{\left(x + 1\right)^{2} \left(8 x - 4\right)}$$

(((x + 1)^2*(8*x - 4))^(1/3)*((8*(x + 1)^2)/3 + ((2 + 2*x)*(8*x - 4))/3))/(((x + 1)^2*(8*x - 4)))

General simplification [src]

            _____________________
     2/3 3 /        2            
2*x*2   *\/  (1 + x) *(-1 + 2*x) 
---------------------------------
        (1 + x)*(-1 + 2*x)

$$\frac{2 \cdot 2^{\frac{2}{3}} x \sqrt[3]{\left(x + 1\right)^{2} \left(2 x - 1\right)}}{\left(x + 1\right) \left(2 x - 1\right)}$$

2*x*2^(2/3)*((1 + x)^2*(-1 + 2*x))^(1/3)/((1 + x)*(-1 + 2*x))

Expand expression [src]

   __________ /         2                      \
3 /        2  |8*(x + 1)    (2 + 2*x)*(8*x - 4)|
\/  (x + 1)  *|---------- + -------------------|
              \    3                 3         /
------------------------------------------------
                    2          2/3              
             (x + 1) *(8*x - 4)

$$\frac{\left(\frac{\left(2 x + 2\right) \left(8 x - 4\right)}{3} + \frac{8 \left(x + 1\right)^{2}}{3}\right) \sqrt[3]{\left(x + 1\right)^{2}}}{\left(x + 1\right)^{2} \left(8 x - 4\right)^{\frac{2}{3}}}$$

((x + 1)^2)^(1/3)*((8*(x + 1)^2)/3 + ((2 + 2*x)*(8*x - 4))/3)/((x + 1)^2*(8*x - 4)^(2/3))

Combinatorics [src]

            _____________________
     2/3 3 /        2            
2*x*2   *\/  (1 + x) *(-1 + 2*x) 
---------------------------------
        (1 + x)*(-1 + 2*x)

$$\frac{2 \cdot 2^{\frac{2}{3}} x \sqrt[3]{\left(x + 1\right)^{2} \left(2 x - 1\right)}}{\left(x + 1\right) \left(2 x - 1\right)}$$

2*x*2^(2/3)*((1 + x)^2*(-1 + 2*x))^(1/3)/((1 + x)*(-1 + 2*x))

Trigonometric part [src]

   _____________________ /         2                       \
3 /        2             |8*(1 + x)    (-4 + 8*x)*(2 + 2*x)|
\/  (1 + x) *(-4 + 8*x) *|---------- + --------------------|
                         \    3                 3          /
------------------------------------------------------------
                           2                                
                    (1 + x) *(-4 + 8*x)

$$\frac{\sqrt[3]{\left(x + 1\right)^{2} \left(8 x - 4\right)} \left(\frac{8 \left(x + 1\right)^{2}}{3} + \frac{\left(2 x + 2\right) \left(8 x - 4\right)}{3}\right)}{\left(x + 1\right)^{2} \left(8 x - 4\right)}$$

((1 + x)^2*(-4 + 8*x))^(1/3)*(8*(1 + x)^2/3 + (-4 + 8*x)*(2 + 2*x)/3)/((1 + x)^2*(-4 + 8*x))

Numerical answer [src]

((1.0 + x)^2*(-4.0 + 8.0*x))^0.333333333333333*(2.66666666666667*(1.0 + x)^2 + 0.333333333333333*(2.0 + 2.0*x)*(-4.0 + 8.0*x))/((1.0 + x)^2*(-4.0 + 8.0*x))

((1.0 + x)^2*(-4.0 + 8.0*x))^0.333333333333333*(2.66666666666667*(1.0 + x)^2 + 0.333333333333333*(2.0 + 2.0*x)*(-4.0 + 8.0*x))/((1.0 + x)^2*(-4.0 + 8.0*x))

Assemble expression [src]

   _____________________ /         2                       \
3 /        2             |8*(1 + x)    (-4 + 8*x)*(2 + 2*x)|
\/  (1 + x) *(-4 + 8*x) *|---------- + --------------------|
                         \    3                 3          /
------------------------------------------------------------
                           2                                
                    (1 + x) *(-4 + 8*x)

((1 + x)^2*(-4 + 8*x))^(1/3)*(8*(1 + x)^2/3 + (-4 + 8*x)*(2 + 2*x)/3)/((1 + x)^2*(-4 + 8*x))

Combining rational expressions [src]

            _____________________          
     2/3 3 /        2             /8   8*x\
3*x*2   *\/  (1 + x) *(-1 + 2*x) *|- + ---|
                                  \3    3 /
-------------------------------------------
                    2                      
           4*(1 + x) *(-1 + 2*x)

$$\frac{3 \cdot 2^{\frac{2}{3}} x \sqrt[3]{\left(x + 1\right)^{2} \left(2 x - 1\right)} \left(\frac{8 x}{3} + \frac{8}{3}\right)}{4 \left(x + 1\right)^{2} \left(2 x - 1\right)}$$

3*x*2^(2/3)*((1 + x)^2*(-1 + 2*x))^(1/3)*(8/3 + 8*x/3)/(4*(1 + x)^2*(-1 + 2*x))

Common denominator [src]

            __________________
     2/3 3 /         3      2 
2*x*2   *\/  -1 + 2*x  + 3*x  
------------------------------
                    2         
        -1 + x + 2*x

$$\frac{2 \cdot 2^{\frac{2}{3}} x \sqrt[3]{2 x^{3} + 3 x^{2} - 1}}{2 x^{2} + x - 1}$$

2*x*2^(2/3)*(-1 + 2*x^3 + 3*x^2)^(1/3)/(-1 + x + 2*x^2)

Rational denominator [src]

   _____________________                                    
3 /        2             /         2                       \
\/  (1 + x) *(-4 + 8*x) *\8*(1 + x)  + (-4 + 8*x)*(2 + 2*x)/
------------------------------------------------------------
                            2                               
                   3*(1 + x) *(-4 + 8*x)

$$\frac{\sqrt[3]{\left(x + 1\right)^{2} \left(8 x - 4\right)} \left(8 \left(x + 1\right)^{2} + \left(2 x + 2\right) \left(8 x - 4\right)\right)}{3 \left(x + 1\right)^{2} \left(8 x - 4\right)}$$

((1 + x)^2*(-4 + 8*x))^(1/3)*(8*(1 + x)^2 + (-4 + 8*x)*(2 + 2*x))/(3*(1 + x)^2*(-4 + 8*x))

Powers [src]

   _____________________ /         2                       \
3 /        2             |8*(1 + x)    (-4 + 8*x)*(2 + 2*x)|
\/  (1 + x) *(-4 + 8*x) *|---------- + --------------------|
                         \    3                 3          /
------------------------------------------------------------
                           2                                
                    (1 + x) *(-4 + 8*x)

((1 + x)^2*(-4 + 8*x))^(1/3)*(8*(1 + x)^2/3 + (-4 + 8*x)*(2 + 2*x)/3)/((1 + x)^2*(-4 + 8*x))

Other calculators

How to use it?

Identical expressions

Similar expressions

Least common denominator ((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))

The solution

Least common denominator ((x+1)^2(8x-4))^(1/3)(8(x+1)^2/3+(2+2x)(8x-4)/3)/((x+1)^2(8*x-4))