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Least common denominator:
((y^2-49)/(y^2-14*y+49))^4/((y+7)/(y-7))^4
x*((x-1)^2/x^2)*(2/x-2*(x-1)/x^2)/(x-1)
(x-sqrt(6)+8)/(4-sqrt(x))*(2+sqrt(x))*(4/(16+x^2)+x*(4+x)^2/(256-x^4))
(x-sin(2*x)/2)/2-2*cos(x)+x
Factor polynomial:
x-x^3+5*x^2/2
x-x^3/3+x^5/5+3*x^4/4
x-x^3/3+x^4/4
x-x^3+3*x^2
Factor squared:
-y^2+y-7
-y^2+y+9
-y^2-y-8
-y^2+y-5
How do you in partial fractions?:
(x^4-x^2)/(x-1)
x^2+1/(x^2)
(m-(14*m-49)/m)/(7/m-1)
e^x/(e^x+2)
How do you in partial fractions?:
((y^2-49)/(y^2-14*y+49))^4/((y+7)/(y-7))^4
Identical expressions
((y^ two - forty-nine)/(y^ two - fourteen *y+ forty-nine))^ four /((y+ seven)/(y- seven))^ four
((y squared minus 49) divide by (y squared minus 14 multiply by y plus 49)) to the power of 4 divide by ((y plus 7) divide by (y minus 7)) to the power of 4
((y to the power of two minus forty minus nine) divide by (y to the power of two minus fourteen multiply by y plus forty minus nine)) to the power of four divide by ((y plus seven) divide by (y minus seven)) to the power of four
((y2-49)/(y2-14*y+49))4/((y+7)/(y-7))4
y2-49/y2-14*y+494/y+7/y-74
((y²-49)/(y²-14*y+49))⁴/((y+7)/(y-7))⁴
((y to the power of 2-49)/(y to the power of 2-14*y+49)) to the power of 4/((y+7)/(y-7)) to the power of 4
((y^2-49)/(y^2-14y+49))^4/((y+7)/(y-7))^4
((y2-49)/(y2-14y+49))4/((y+7)/(y-7))4
y2-49/y2-14y+494/y+7/y-74
y^2-49/y^2-14y+49^4/y+7/y-7^4
((y^2-49) divide by (y^2-14*y+49))^4 divide by ((y+7) divide by (y-7))^4
Similar expressions
((y^2-49)/(y^2+14*y+49))^4/((y+7)/(y-7))^4
((y^2-49)/(y^2-14*y+49))^4/((y-7)/(y-7))^4
((y^2+49)/(y^2-14*y+49))^4/((y+7)/(y-7))^4
((y^2-49)/(y^2-14*y-49))^4/((y+7)/(y-7))^4
((y^2-49)/(y^2-14*y+49))^4/((y+7)/(y+7))^4

Expression simplification/ Least common denominator/ ((y^2-49)/(y^2-14*y+49))^4/((y+7)/(y-7))^4

Least common denominator ((y^2-49)/(y^2-14*y+49))^4/((y+7)/(y-7))^4

The solution

You have entered [src]

                4
/    2         \ 
|   y  - 49    | 
|--------------| 
| 2            | 
\y  - 14*y + 49/ 
-----------------
            4    
     /y + 7\     
     |-----|     
     \y - 7/

$$\frac{\left(\frac{y^{2} - 49}{\left(y^{2} - 14 y\right) + 49}\right)^{4}}{\left(\frac{y + 7}{y - 7}\right)^{4}}$$

((y^2 - 49)/(y^2 - 14*y + 49))^4/((y + 7)/(y - 7))^4

Fraction decomposition [src]

$$1$$

General simplification [src]

$$1$$

Rational denominator [src]

            4             
  /       2\          4   
  \-49 + y / *(-7 + y)    
--------------------------
                         4
       4 /      2       \ 
(7 + y) *\49 + y  - 14*y/

$$\frac{\left(y - 7\right)^{4} \left(y^{2} - 49\right)^{4}}{\left(y + 7\right)^{4} \left(y^{2} - 14 y + 49\right)^{4}}$$

(-49 + y^2)^4*(-7 + y)^4/((7 + y)^4*(49 + y^2 - 14*y)^4)

Assemble expression [src]

            4             
  /       2\          4   
  \-49 + y / *(-7 + y)    
--------------------------
                         4
       4 /      2       \ 
(7 + y) *\49 + y  - 14*y/

$$\frac{\left(y - 7\right)^{4} \left(y^{2} - 49\right)^{4}}{\left(y + 7\right)^{4} \left(y^{2} - 14 y + 49\right)^{4}}$$

(-49 + y^2)^4*(-7 + y)^4/((7 + y)^4*(49 + y^2 - 14*y)^4)

Numerical answer [src]

1.0*(-1 + 0.142857142857143*y)^4*(-1 + 0.0204081632653061*y^2)^4/((1 + 0.142857142857143*y)^4*(1 + 0.0204081632653061*y^2 - 0.285714285714286*y)^4)

1.0*(-1 + 0.142857142857143*y)^4*(-1 + 0.0204081632653061*y^2)^4/((1 + 0.142857142857143*y)^4*(1 + 0.0204081632653061*y^2 - 0.285714285714286*y)^4)

Trigonometric part [src]

            4             
  /       2\          4   
  \-49 + y / *(-7 + y)    
--------------------------
                         4
       4 /      2       \ 
(7 + y) *\49 + y  - 14*y/

$$\frac{\left(y - 7\right)^{4} \left(y^{2} - 49\right)^{4}}{\left(y + 7\right)^{4} \left(y^{2} - 14 y + 49\right)^{4}}$$

(-49 + y^2)^4*(-7 + y)^4/((7 + y)^4*(49 + y^2 - 14*y)^4)

Combinatorics [src]

$$1$$

Common denominator [src]

$$1$$

Powers [src]

            4             
  /       2\          4   
  \-49 + y / *(-7 + y)    
--------------------------
                         4
       4 /      2       \ 
(7 + y) *\49 + y  - 14*y/

$$\frac{\left(y - 7\right)^{4} \left(y^{2} - 49\right)^{4}}{\left(y + 7\right)^{4} \left(y^{2} - 14 y + 49\right)^{4}}$$

(-49 + y^2)^4*(-7 + y)^4/((7 + y)^4*(49 + y^2 - 14*y)^4)

Expand expression [src]

                     4    
          4 / 2     \     
   (y - 7) *\y  - 49/     
--------------------------
                         4
       4 / 2            \ 
(y + 7) *\y  - 14*y + 49/

$$\frac{\left(y - 7\right)^{4} \left(y^{2} - 49\right)^{4}}{\left(y + 7\right)^{4} \left(\left(y^{2} - 14 y\right) + 49\right)^{4}}$$

(y - 7)^4*(y^2 - 49)^4/((y + 7)^4*(y^2 - 14*y + 49)^4)

Combining rational expressions [src]

             4              
   /       2\          4    
   \-49 + y / *(-7 + y)     
----------------------------
       4                   4
(7 + y) *(49 + y*(-14 + y))

$$\frac{\left(y - 7\right)^{4} \left(y^{2} - 49\right)^{4}}{\left(y + 7\right)^{4} \left(y \left(y - 14\right) + 49\right)^{4}}$$

(-49 + y^2)^4*(-7 + y)^4/((7 + y)^4*(49 + y*(-14 + y))^4)

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Similar expressions

Least common denominator ((y^2-49)/(y^2-14*y+49))^4/((y+7)/(y-7))^4

The solution