Question

factor each expression
see examples 1, 3, and 4

1. $x^2 + 16x + 64$

Explanation:

Step1: Identify perfect square trinomial

Check if $x^2 + 16x + 64$ matches $a^2 + 2ab + b^2$. Here, $a=x$, $b=8$ (since $8^2=64$, $2*x*8=16x$).

Step2: Apply square of sum formula

Use $(a+b)^2 = a^2 + 2ab + b^2$. Substitute $a=x$, $b=8$.

Answer:

$(x+8)^2$