Exercise 1 Page 507

We want to simplify the given expression. Notice that this expression is the product of a binomial multiplied by itself. We can rewrite this as the square of a binomial. (c+3)(c+3) ⇔ (c+3)^2Recall that the square of a binomial with addition is the sum of the square of the first term, twice the product of the terms, and the square of the last term. ( a+ b)^2= a^2+ 2 a b+ b^2 Let's use the above formula to simplify our expression!

( c+ 3)^2

ExpandPosPerfectSquare

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

c^2+ 2( c)( 3)+ 3^2

Multiply

Multiply

c^2+6c+3^2

CalcPow

Calculate power

c^2+6c+9