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Factor polynomial:
y^3-1/8
y^2-y^8
y*2*y-3*y-y^2-5+2*y*y-y*5+y*7*y^2
y^2-8*y+16
Least common denominator:
(((x^3-64)*(x-7))/((x+7)*(x^2+4*x+16)))-((77-11*x)/(x+7))
x/2+x/4+x/8
-x^2/(x-1)^2+2*x/(x-1)
x/2-sin(2*(x/2+1))/2+1
Factor squared:
y^4+5*y^2-1
-y^4+4*y^2-3
-y^4-4*y^2+12
y^4+3*y^2-4
How do you in partial fractions?:
(x+1)/(x^3-1)
sqrt((49/50-x^2/(193/2)^2)*71²)
sqrt(x)*(-3+5*x^4)+(x^5-3*x)/(2*sqrt(x))
cos(b)/(cos*b/2)-(sin*b/2)
Identical expressions
y^ three - one / eight
y cubed minus 1 divide by 8
y to the power of three minus one divide by eight
y3-1/8
y³-1/8
y to the power of 3-1/8
y^3-1 divide by 8
Similar expressions
y^3+1/8

Expression simplification/ Factorization polynomials/ y^3-1/8

Factor polynomial y^3-1/8

The solution

You have entered [src]

 3   1
y  - -
     8

$$y^{3} - \frac{1}{8}$$

y^3 - 1/8

Factorization [src]

          /            ___\ /            ___\
          |    1   I*\/ 3 | |    1   I*\/ 3 |
(x - 1/2)*|x + - + -------|*|x + - - -------|
          \    4      4   / \    4      4   /

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

((x - 1/2)*(x + 1/4 + i*sqrt(3)/4))*(x + 1/4 - i*sqrt(3)/4)

Rational denominator [src]

        3
-1 + 8*y 
---------
    8

$$\frac{8 y^{3} - 1}{8}$$

(-1 + 8*y^3)/8

Combining rational expressions [src]

        3
-1 + 8*y 
---------
    8

$$\frac{8 y^{3} - 1}{8}$$

(-1 + 8*y^3)/8

Numerical answer [src]

-0.125 + y^3

-0.125 + y^3

Combinatorics [src]

           /             2\
(-1 + 2*y)*\1 + 2*y + 4*y /
---------------------------
             8

$$\frac{\left(2 y - 1\right) \left(4 y^{2} + 2 y + 1\right)}{8}$$

(-1 + 2*y)*(1 + 2*y + 4*y^2)/8

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Identical expressions

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Factor polynomial y^3-1/8

The solution