Question
Multiply. Give your answer in standard form.
(2n2+5n+4)(2n−4)
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(2n2+5n+4)(2n−4)
Show your work
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Answered by
GPT 3.5
First we need to distribute the terms in the second set of parentheses to each term in the first set of parentheses:
2n2(2n) + 2n2(-4) + 5n(2n) + 5n(-4) + 4(2n) + 4(-4)
Now multiply each set of terms:
4n^3 - 8n^2 + 10n^2 - 20n + 8n - 16
Combining like terms, we get:
4n^3 + 2n^2 - 12n - 16
Therefore, the answer in standard form is:
4n^3 + 2n^2 - 12n - 16
2n2(2n) + 2n2(-4) + 5n(2n) + 5n(-4) + 4(2n) + 4(-4)
Now multiply each set of terms:
4n^3 - 8n^2 + 10n^2 - 20n + 8n - 16
Combining like terms, we get:
4n^3 + 2n^2 - 12n - 16
Therefore, the answer in standard form is:
4n^3 + 2n^2 - 12n - 16
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