Answer:
[tex]-a^2b\left(8+a^4b^3\right)[/tex]
Step-by-step explanation:
When we factor out a expression, we seek the terms that are common and then take it away. This is the opposite of applying distributive. In this exercise, we need to factor the following expression:
[tex]-8a^2b-a^6b^4[/tex], so:
STEP 1: Applying exponent rules:
We know that:
[tex]a^{m+n}=a^mb^n[/tex]
So:
[tex]a^6b^4=a^2a^4bb^3[/tex]
Then, our expression remains:
[tex]-8a^2b-a^2a^4bb^3[/tex]
STEP 2: Taking common factor [tex]-a^2b[/tex], we finally get:
[tex]\boxed{-a^2b\left(8+a^4b^3\right)}[/tex]
