Question

Rewrite without parentheses and simplity. (w+6)^(2)

Answer 1

w² + 12w + 36

Explanation:

given

(w + 6)²

= (w + 6)(w + 6)

each term in the second factor is multiplied by each term in the first factor , that is

w(w + 6) + 6(w + 6) ← distribute parenthesis

= w² + 6w + 6w + 36 ← collect like terms

= w² + 12w + 36

Answer 2

Explanation:

to expand
`(w+6)^2`, we can use the general expansion
`(a+b)^2=a^2+2ab+b^2` which can be derived from direct expansion, or binomial expansion and Pascal's triangle. anyways, the simple way would be using direct expansion.

`(w+6)^2\\=(w+6)(w+6)\\=w^2+6w+6w+36\\=w^2+12w+36`