Question

factor the trinomial, if possible.\\(64a^{2}-144a + 81\\)

Explanation:

Step1: Identify perfect square terms

$64a^2=(8a)^2$, $81=9^2$

Step2: Check middle term validity

Verify $2\times8a\times9=144a$, matches the trinomial's middle term (with a negative sign, since the constant is positive and linear term is negative)

Step3: Apply perfect square formula

Use $(x-y)^2=x^2-2xy+y^2$ where $x=8a$, $y=9$

Answer:

$(8a - 9)^2$