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Popular >

factor u^3-8

Solution

factor

u^{3} - 8

Solution

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

Solution steps

u^{3} - 8

Rewrite

8

as

2^{3}

= u^{3} - 2^{3}

Apply Difference of Cubes Formula:

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

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

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

2^{2} = 4

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

Popular Examples

factor 5x^2-30x+25 factor

5 x^{2} - 30 x + 25

simplify (3^{-3}+3^{-4})/(3^{-5)}simplify

\frac{3 ^{- 3} + 3 ^{- 4}}{3 ^{- 5}}

0.25x+0.75(10-x)=3

0.25 x + 0.75 (10 - x) = 3

factor 8w^3+12w^2+10w+15 factor

8 w^{3} + 12 w^{2} + 10 w + 15

factor 5x^2+19x+12 factor

5 x^{2} + 19 x + 12

Frequently Asked Questions (FAQ)

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