Exercise 11 Page 25

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

( 2n^2+3n-6 )( 5n^2-2n-8 )

Distr

Distribute ( 5n^2-2n-8 )

2n^2( 5n^2-2n-8 )+3n( 5n^2-2n-8 )-6( 5n^2-2n-8 )

Distr

Distribute 2n^2

10n^4-4n^3-16n^2+3n( 5n^2-2n-8 )-6( 5n^2-2n-8 )

Distr

Distribute 3n

10n^4-4n^3-16n^2+15n^3-6n^2-24n-6( 5n^2-2n-8 )

Distr

Distribute -6

10n^4-4n^3-16n^2+15n^3-6n^2-24n-30n^2+12n+48

AddSubTerms

Add and subtract terms

10n^4+11n^3-52n^2-12n+48