Question

1. $45a^{2}-9ab + 90ab^{2}$
2. $4a^{4}b^{7}c^{3}+16a^{3}b^{4}c^{3}-8a^{2}bc^{2}$

Explanation:

Step1: Factor problem 13: find GCF

The greatest common factor (GCF) of $45a^2$, $9ab$, and $90ab^2$ is $9a$.

Step2: Factor out GCF from problem13

$45a^2 - 9ab + 90ab^2 = 9a(5a - b + 10b^2)$

Step3: Factor problem14: find GCF

The GCF of $4a^4b^7c^3$, $16a^3b^4c^3$, and $8a^2bc^2$ is $4a^2bc^2$.

Step4: Factor out GCF from problem14

$4a^4b^7c^3 + 16a^3b^4c^3 - 8a^2bc^2 = 4a^2bc^2(a^2b^6c + 4ab^3c - 2)$

Answer:

1. $9a(5a - b + 10b^2)$
2. $4a^2bc^2(a^2b^6c + 4ab^3c - 2)$