Question

factor by using the perfect-square trinomial formula.\\(9x^2 - 24x + 16\\)\\(9x^2 - 24x + 16 = \square\\)

Explanation:

Step1: Identify perfect square terms

First term: $9x^2=(3x)^2$, last term: $16=4^2$

Step2: Verify middle term

Check if $2ab=2\times3x\times4=24x$, matches the absolute value of the middle term $-24x$.

Step3: Apply perfect square formula

Use $(a-b)^2=a^2-2ab+b^2$ where $a=3x$, $b=4$.

Answer:

$(3x-4)^2$