What is factor 5x^3+10x^2-20x-40 ?

The solution to factor 5x^3+10x^2-20x-40 is 5(x+2)^2(x-2)

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factor 5x^3+10x^2-20x-40

factor

5 x^{3} + 10 x^{2} - 20 x - 40

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

Solution steps

5 x^{3} + 10 x^{2} - 20 x - 40

Factor out common term

5 : 5 (x^{3} + 2 x^{2} - 4 x - 8)

= 5 (x^{3} + 2 x^{2} - 4 x - 8)

Factor

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

= 5 (x + 2) (x + 2) (x - 2)

Apply exponent rule:

aa = a^{2}

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

= 5 (x + 2)^{2} (x - 2)

(\frac{3}{4})^{- 3}

\frac{6}{10} \cdot \frac{5}{9}

5 b^{2} \cdot 8 b

\frac{10}{4} \cdot \frac{2}{25}

7 - 2 p > - 5

What is factor 5x^3+10x^2-20x-40 ?
The solution to factor 5x^3+10x^2-20x-40 is 5(x+2)^2(x-2)