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Popular >

factor x^3-8

Solution

factor

x^{3} - 8

Solution

(x - 2) (x^{2} + 2 x + 4)

Solution steps

x^{3} - 8

Rewrite

8

as

2^{3}

= x^{3} - 2^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

x^{3} - 2^{3} = (x - 2) (x^{2} + 2 x + 2^{2})

= (x - 2) (x^{2} + 2 x + 2^{2})

2^{2} = 4

= (x - 2) (x^{2} + 2 x + 4)

Popular Examples

simplify (15b)/(45b^5)simplify

\frac{15 b}{45 b ^{5}}

x/8-7/4 < x/4+1

\frac{x}{8} - \frac{7}{4} < \frac{x}{4} + 1

factor 12x^2-24x+9 factor

12 x^{2} - 24 x + 9

2/3 x-8=-1/2 x+5/2

\frac{2}{3} x - 8 = - \frac{1}{2} x + \frac{5}{2}

factor 2x^2y-4xy+6xy^2 factor

2 x^{2} y - 4 x y + 6 x y^{2}

Frequently Asked Questions (FAQ)

What is factor x^3-8 ?
The solution to factor x^3-8 is (x-2)(x^2+2x+4)