Question

factor the trinomial, if possible. 16x²y² + 56xy + 49

Explanation:

Step1: Identify perfect square terms

$16x^2y^2=(4xy)^2$, $49=7^2$

Step2: Verify middle term

$2\times4xy\times7=56xy$, matches the trinomial's middle term

Step3: Apply perfect square formula

Use $(a+b)^2=a^2+2ab+b^2$ with $a=4xy$, $b=7$

Answer:

$(4xy + 7)^2$