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How do you in partial fractions?:
(a^4-10*a^2+169)/(a^2+6*a+13)
((3*x+2)^4+12*(3*x+2)^3*(x-1))/(3*x-2)^4-12*(3*x+2)^4*(x-1)/(3*x-2)^5
((x+3)/(x-1))^2+14(x^2-9)/(x^2-1)-15((x-3)/(x+1))^2
((x+12)/(x^(3)-9x))/(((x-3)/(2x^2+5x-3))-(9/(9-x^2)))
Factor polynomial:
-x^7+x^6/4+9*x^5/8-9*x^4/32-x^3/8+x^2/32
x^7+4*x^6+4*x^5+2*x^4+4*x^3+3*x^2+3*x+4
x^7-4*x^5+6*x^3-4*x
x^7-3*x^6+8*x^2
Least common denominator:
((u^2-2*u+4)/(4*u^2-1)*(2*u^2+u)/(u^3+8)-(u+2/2*u^2-u))/7/(u^2+2*u)-(10*u+1)/(7-14*u)
t/(t-7)-7/(7-t)
sqrt((x-3)/(x+3))*(x+3)*(1/(2*(x+3))-(x-3)/(2*(x+3)^2))/(x-3)
sqrt(x)*(3*x^2-1/(2*x*sqrt(x)))+(x^3+1/(sqrt(x)))/(2*sqrt(x))
Factor squared:
-y^2-7*y*x-x^2
-y^2-7*y*x-15*x^2
-y^2+7*y*x+7*x^2
y^2-7*y*x+5*x^2
Least common denominator:
x-(-1/(1-x)^(1/2))*(1+(-1/((1-x))^(1/2))^2)/(-1/(2*(1-x)^(3/2)))
Identical expressions
x-(- one /(one -x)^(one / two))*(one +(- one /((one -x))^(one / two))^ two)/(- one /(two *(one -x)^(three / two)))
x minus ( minus 1 divide by (1 minus x) to the power of (1 divide by 2)) multiply by (1 plus ( minus 1 divide by ((1 minus x)) to the power of (1 divide by 2)) squared ) divide by ( minus 1 divide by (2 multiply by (1 minus x) to the power of (3 divide by 2)))
x minus ( minus one divide by (one minus x) to the power of (one divide by two)) multiply by (one plus ( minus one divide by ((one minus x)) to the power of (one divide by two)) to the power of two) divide by ( minus one divide by (two multiply by (one minus x) to the power of (three divide by two)))
x-(-1/(1-x)(1/2))*(1+(-1/((1-x))(1/2))2)/(-1/(2*(1-x)(3/2)))
x--1/1-x1/2*1+-1/1-x1/22/-1/2*1-x3/2
x-(-1/(1-x)^(1/2))*(1+(-1/((1-x))^(1/2))²)/(-1/(2*(1-x)^(3/2)))
x-(-1/(1-x) to the power of (1/2))*(1+(-1/((1-x)) to the power of (1/2)) to the power of 2)/(-1/(2*(1-x) to the power of (3/2)))
x-(-1/(1-x)^(1/2))(1+(-1/((1-x))^(1/2))^2)/(-1/(2(1-x)^(3/2)))
x-(-1/(1-x)(1/2))(1+(-1/((1-x))(1/2))2)/(-1/(2(1-x)(3/2)))
x--1/1-x1/21+-1/1-x1/22/-1/21-x3/2
x--1/1-x^1/21+-1/1-x^1/2^2/-1/21-x^3/2
x-(-1 divide by (1-x)^(1 divide by 2))*(1+(-1 divide by ((1-x))^(1 divide by 2))^2) divide by (-1 divide by (2*(1-x)^(3 divide by 2)))
Similar expressions
x+(-1/(1-x)^(1/2))*(1+(-1/((1-x))^(1/2))^2)/(-1/(2*(1-x)^(3/2)))
x-(-1/(1-x)^(1/2))*(1+(1/((1-x))^(1/2))^2)/(-1/(2*(1-x)^(3/2)))
x-(1/(1-x)^(1/2))*(1+(-1/((1-x))^(1/2))^2)/(-1/(2*(1-x)^(3/2)))
x-(-1/(1-x)^(1/2))*(1+(-1/((1+x))^(1/2))^2)/(-1/(2*(1-x)^(3/2)))
x-(-1/(1-x)^(1/2))*(1-(-1/((1-x))^(1/2))^2)/(-1/(2*(1-x)^(3/2)))
x-(-1/(1-x)^(1/2))*(1+(-1/((1-x))^(1/2))^2)/(1/(2*(1-x)^(3/2)))
x-(-1/(1+x)^(1/2))*(1+(-1/((1-x))^(1/2))^2)/(-1/(2*(1-x)^(3/2)))
x-(-1/(1-x)^(1/2))*(1+(-1/((1-x))^(1/2))^2)/(-1/(2*(1+x)^(3/2)))

Expression simplification/ Fraction Decomposition into the simple/ x-(-1/(1-x)^(1/2))*(1+(-1/((1-x))^(1/2))^2)/(-1/(2*(1-x)^(3/2)))

How do you x-(-1/(1-x)^(1/2))(1+(-1/((1-x))^(1/2))^2)/(-1/(2(1-x)^(3/2))) in partial fractions?

The solution

You have entered [src]

              /               2\
       -1     |    /   -1    \ |
    ---------*|1 + |---------| |
      _______ |    |  _______| |
    \/ 1 - x  \    \\/ 1 - x / /
x - ----------------------------
           /    -1      \       
           |------------|       
           |         3/2|       
           \2*(1 - x)   /

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

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

General simplification [src]

-4 + 3*x

$$3 x - 4$$

-4 + 3*x

Fraction decomposition [src]

-4 + 3*x

$$3 x - 4$$

-4 + 3*x

Expand expression [src]

      /      1  \        
x - 2*|1 + -----|*(1 - x)
      \    1 - x/

$$x - 2 \left(1 - x\right) \left(1 + \frac{1}{1 - x}\right)$$

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

Combinatorics [src]

-4 + 3*x

$$3 x - 4$$

-4 + 3*x

Rational denominator [src]

        2           
(-1 + x) *(-4 + 3*x)
--------------------
         2          
    1 + x  - 2*x

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

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

Combining rational expressions [src]

-4 + 3*x

$$3 x - 4$$

-4 + 3*x

Common denominator [src]

-4 + 3*x

$$3 x - 4$$

-4 + 3*x

Trigonometric part [src]

      /      1  \        
x - 2*|1 + -----|*(1 - x)
      \    1 - x/

$$x - 2 \left(1 - x\right) \left(1 + \frac{1}{1 - x}\right)$$

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

Assemble expression [src]

      /      1  \        
x - 2*|1 + -----|*(1 - x)
      \    1 - x/

$$x - 2 \left(1 - x\right) \left(1 + \frac{1}{1 - x}\right)$$

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

Powers [src]

              /       1  \
x + 2*(1 - x)*|-1 - -----|
              \     1 - x/

$$x + 2 \left(-1 - \frac{1}{1 - x}\right) \left(1 - x\right)$$

      /      1  \        
x - 2*|1 + -----|*(1 - x)
      \    1 - x/

$$x - 2 \left(1 - x\right) \left(1 + \frac{1}{1 - x}\right)$$

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

Numerical answer [src]

x - 2.0*(1.0 - x)^1.0*(1.0 + (1.0 - x)^(-1.0))

x - 2.0*(1.0 - x)^1.0*(1.0 + (1.0 - x)^(-1.0))

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How do you x-(-1/(1-x)^(1/2))*(1+(-1/((1-x))^(1/2))^2)/(-1/(2*(1-x)^(3/2))) in partial fractions?

The solution

How do you x-(-1/(1-x)^(1/2))(1+(-1/((1-x))^(1/2))^2)/(-1/(2(1-x)^(3/2))) in partial fractions?