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Factor 4a²x - 4ax - 8x.

Sagot :

Answer:

4x(a+1)(a-2)

Explanation:

Given the polynomial:

[tex]4a^2x-4ax-8x[/tex]

First, factor out 4x in all the terms:

[tex]=4x(a^2-a-2)[/tex]

Next, factor the expression in the parenthesis:

[tex]\begin{gathered} =4x(a^2-a-2) \\ =4x(a^2-2a+a-2) \\ =4x[a(a-2)+1(a-2)] \\ =4x(a+1)(a-2) \end{gathered}[/tex]

The factored form of the polynomial is 4x(a+1)(a-2).