Question

Find the product.

(n + 4)2

Answer 1

2n+8 or
`n^2+8n+16` if the 2 is an exponent

Explanation:

The Distributive property says a(b+c)=ab+ac

Knowing this, lets apply it to the problem...

1) Distribute 2 to n:

2n

2) Distribute 2 to 4:

2n+8

If the problem is squared, use foil (first, outer, inner, last)

(n+4)(n+4)

n^2+4n+4n+16

1) Simplify:

n^2+8n+16

Answer 2

n^2+8n+16

Explanation:

(n+4)^2

=(n+4) (n+4)

= n^2+4n+4n+16

=n^2+8n+16