$-4{a}^{2}-17ab-4{b}^{2}$

posader86
2022-07-25
Answered

Factor this trinomial:

$-4{a}^{2}-17ab-4{b}^{2}$

$-4{a}^{2}-17ab-4{b}^{2}$

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Jaycee Figueroa

Answered 2022-07-26
Author has **10** answers

Solution:

$-4{a}^{2}-17ab-4{b}^{2}\phantom{\rule{0ex}{0ex}}\Rightarrow -4{a}^{2}-16ab-1ab-4{b}^{2}\phantom{\rule{0ex}{0ex}}\Rightarrow -4a(a+4b)-b(a+4b)\phantom{\rule{0ex}{0ex}}\Rightarrow (a+4b)(-4a-b)\phantom{\rule{0ex}{0ex}}\Rightarrow -(a+4b)(4a+b)$

$-4{a}^{2}-17ab-4{b}^{2}\phantom{\rule{0ex}{0ex}}\Rightarrow -4{a}^{2}-16ab-1ab-4{b}^{2}\phantom{\rule{0ex}{0ex}}\Rightarrow -4a(a+4b)-b(a+4b)\phantom{\rule{0ex}{0ex}}\Rightarrow (a+4b)(-4a-b)\phantom{\rule{0ex}{0ex}}\Rightarrow -(a+4b)(4a+b)$

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