How do you factor completely $9a^2 -24ab + 16b^2$ ?

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Answer 1 · 2016-08-30T16:51:36

$(3a-4b)^2$ .

Recall the Expansion Formula $: A^2-2AB+B^2=(A-B)^2$ .

Given Expression $=9a^2-24ab+16b^2$

$=(3a)^2-2(3a)(4b)+(4b)^2$

$=(3a-4b)^2$ .

How do you factor completely 9a^2 -24ab + 16b^29a^2 -24ab + 16b^2?