Rewrite the expression by factoring out $(x-4)$.
\[
3 x^{2}(x-4)-7(x-4)
\]

Answer

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Answer

The expression factored out by $(x-4)$ is $(x-4)(3x^2-7)$.

Steps

Step 1 ：Rewrite the expression by factoring out $(x-4)$. The expression given is $3 x^{2}(x-4)-7(x-4)$. Both terms in the expression have a common factor of $(x-4)$. Factoring out means to rewrite the expression such that $(x-4)$ is taken out common. This is a simple algebraic manipulation and does not require any calculations.

Step 2 ：The expression factored out by $(x-4)$ is $(x-4)(3x^2-7)$.

Rewrite the expression by factoring out $(x-4)$.\[3 x^{2}(x-4)-7(x-4)\]

Answer

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Rewrite the expression by factoring out $(x-4)$.
\[
3 x^{2}(x-4)-7(x-4)
\]