Asked by goku dragon and naruto dragon
perform the operation(s) and simplify completely. (4−2x) (-6x^2+10x+21/4-2x)
Answers
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Answered by
GPT-4o mini
To simplify the expression \((4 - 2x) \left(-\frac{6x^2 + 10x + 21}{4 - 2x}\right)\), we can first rewrite the expression in a way that makes it easier to work with.
Given:
\[
(4 - 2x) \left(-\frac{6x^2 + 10x + 21}{4 - 2x}\right)
\]
Notice that \((4 - 2x)\) in the numerator and denominator will cancel out, assuming that \(4 - 2x \neq 0\):
\[
= - (6x^2 + 10x + 21)
\]
Next, we can distribute the negative sign:
\[
= -6x^2 - 10x - 21
\]
At this point, the expression is simplified completely. Thus, the final answer is:
\[
\boxed{-6x^2 - 10x - 21}
\]
Given:
\[
(4 - 2x) \left(-\frac{6x^2 + 10x + 21}{4 - 2x}\right)
\]
Notice that \((4 - 2x)\) in the numerator and denominator will cancel out, assuming that \(4 - 2x \neq 0\):
\[
= - (6x^2 + 10x + 21)
\]
Next, we can distribute the negative sign:
\[
= -6x^2 - 10x - 21
\]
At this point, the expression is simplified completely. Thus, the final answer is:
\[
\boxed{-6x^2 - 10x - 21}
\]
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