## Algebra 1: Common Core (15th Edition)

a. $(5x^{2}+11)(4x-1)$ b. $(4x-1)(5x^{2}+11)$ c. Addition is commutative and associative, meaning that we obtain the same (equivalent) results if we change the order of terms.
a. $(20x^{3}-5x^{2})+(44x-11)=$ ...factor out the GCF out of each pair of terms. $=5x^{2}(4x-1)+11(4x-1)$ ...use the Distributive Property. $=(5x^{2}+11)(4x-1)$ b. $(20x^{3}+44x)+(-5x^{2}-11)=$ ...factor out the GCF out of each pair of terms. $=4x(5x^{2}+11)-1(5x^{2}+11)$ ...use the Distributive Property. $=(4x-1)(5x^{2}+11)$ c. Addition is commutative and associative, meaning that we obtain the same (equivalent) results if we change the order of terms.