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Popular >

factor x^3+2x^2-4x-8

Solution

factor

x^{3} + 2 x^{2} - 4 x - 8

Solution

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

Solution steps

x^{3} + 2 x^{2} - 4 x - 8

= (x^{3} + 2 x^{2}) + (- 4 x - 8)

Factor out

x^{2}

from

x^{3} + 2 x^{2} : x^{2} (x + 2)

Factor out

- 4

from

- 4 x - 8 : - 4 (x + 2)

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

Factor out common term

x + 2

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

Factor

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

= (x + 2) (x + 2) (x - 2)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

- x^{2} + 7 x - 12 < 0

x^{2} + 7 = 6 x

8(x-9)-9(x-8)=x+8-(x-2)

8 (x - 9) - 9 (x - 8) = x + 8 - (x - 2)

5 (n + 1)^{2} = 40

simplify ((-2x^{-2}y^4)/(x^2y^6))^3 simplify

(\frac{- 2 x ^{- 2} y ^{4}}{x ^{2} y ^{6}})^{3}

Frequently Asked Questions (FAQ)

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