What is factor a^3-2a^2+4xa-8x ?

The solution to factor a^3-2a^2+4xa-8x is (a-2)(a^2+4x)

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

factor

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

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

Solution steps

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

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

Factor out

a^{2}

from

a^{3} - 2 a^{2} : a^{2} (a - 2)

Factor out

4 x

from

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

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

Factor out common term

a - 2

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

\frac{17}{20} - \frac{5}{8}

(x^{2} - x - 5) (x^{2} - 3 x + 2)

\frac{x ^{2} + 3 x - 4}{x ^{2} + 4 x - 5}

2 - (x + 2)^{2}

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

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