Question

Fill in the blank to make the expression a perfect square.
v^2 + 8v +

Answer 1

Answer:

$\large\boxed{v^2+8v+4^2=v^2+8v+16=(v+4)^2}$

Step-by-step explanation:

Use

$(a+b)^2=a^2+2ab+b^2$

$v^2+8v=v^2+2(v)(4)\qquad\text{add}\ 4^2\ \text{to both sides}\\\\v^2+8v+4^2=v^2+2(v)(4)+4^2\\\\v^2+8v+16=v^2+2(v)(4)+4^2$