Exercise 32 Page 31

We can find the product of this expression using polynomial identities. In this case, we have the square of a binomial.

(a+4b)^2

ExpandPosPerfectSquare

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

a^2+2(a)(4b)+(4b)^2

Multiply

Multiply

a^2+8ab+(4b)^2

PowProdII

(a b)^m=a^m b^m

a^2+8ab+4^2b^2

CalcPow

Calculate power

a^2+8ab+16b^2