Question

Factor out the GCF from the polynomial.
a8b7−a4b3+a3b6−a3b3

Answer 1

Answer: a^3b^3*(a^5b^4 - a + b^3 - 1)

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Step-by-step explanation:

The 'a' terms are

• a^8
• a^4
• a^3
• a^3

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.