Exercise 29 Page 25

We want to simplify the expression by finding the product of the trinomials. To do so, we will apply the Distributive Property.

( 3b^3-4b-7 )( 2b^2-b-9 )

Distr

Distribute ( 2b^2-b-9 )

3b^3( 2b^2-b-9 )-4b( 2b^2-b-9 )-7( 2b^2-b-9 )

Distr

Distribute 3b^3

6b^5-3b^4-27b^3-4b( 2b^2-b-9 )-7( 2b^2-b-9 )

Distr

Distribute -4b

6b^5-3b^4-27b^3-8b^3+4b^2+36b-7( 2b^2-b-9 )

Distr

Distribute -7

6b^5-3b^4-27b^3-8b^3+4b^2+36b-14b^2+7b+63

AddSubTerms

Add and subtract terms

6b^5-3b^4-35b^3-10b^2+43b+63