Answer
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.
Work Step by Step
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.
