Answer: a^3b^3*(a^5b^4 - a + b^3 - 1)
====================================================
Step-by-step explanation:
The 'a' terms are
The smallest exponent here is 3, which indicates the GCF of the 'a' terms is a^3
Through similar logic the GCF of the b terms is b^3
The overall GCF is a^3b^3
Let's factor out the GCF
a^8b^7 - a^4b^3 + a^3b^6 - a^3b^3
a^3b^3*a^5b^4 - a^3b^3*a + a^3b^3*b^3 - a^3b^3*1
a^3b^3*(a^5b^4 - a + b^3 - 1)
The distributive property can be used to verify the answer is correct.