What is factor 4x^5-8x^4-4x^3 ?

The solution to factor 4x^5-8x^4-4x^3 is 4x^3(x^2-2x-1)

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factor 4x^5-8x^4-4x^3

factor

4 x^{5} - 8 x^{4} - 4 x^{3}

4 x^{3} (x^{2} - 2 x - 1)

Solution steps

4 x^{5} - 8 x^{4} - 4 x^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{4} = x x^{3}

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

Rewrite

8

4 \cdot 2

Rewrite

4

4 \cdot 1

= 4 x^{2} x^{3} - 4 \cdot 2 x x^{3} - 4 \cdot 1 \cdot x^{3}

Factor out common term

4 x^{3}

= 4 x^{3} (x^{2} - 2 x - 1)

a (x^{3} + 1) + 3 a x (x + 1)

38 \cdot 4

6 x^{3} - 27 x^{2} - 39 x + 6

15 \cdot (- 2)

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

What is factor 4x^5-8x^4-4x^3 ?
The solution to factor 4x^5-8x^4-4x^3 is 4x^3(x^2-2x-1)