# Factor This Trinomial: -4a^2-17ab-4b^2

Factor this trinomial:
$-4{a}^{2}-17ab-4{b}^{2}$
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Solution:
$-4{a}^{2}-17ab-4{b}^{2}\phantom{\rule{0ex}{0ex}}⇒-4{a}^{2}-16ab-1ab-4{b}^{2}\phantom{\rule{0ex}{0ex}}⇒-4a\left(a+4b\right)-b\left(a+4b\right)\phantom{\rule{0ex}{0ex}}⇒\left(a+4b\right)\left(-4a-b\right)\phantom{\rule{0ex}{0ex}}⇒-\left(a+4b\right)\left(4a+b\right)$