Factor the polynomial. a^{6}-b^{6}

Linda Seales

Linda Seales

Answered question

2021-12-09

Factor the polynomial. a6b6

Answer & Explanation

porschomcl

porschomcl

Beginner2021-12-10Added 28 answers

Step 1
Given polynomial
a6b6
We can write the above polynomial as
(a3)2(b3)2
We know that a2b2=(a+b)(ab)
So, we have
(a3)2(b3)2=(a3+b3)(a3b3)...(1)
Step 2
We know that formula
a3+b3=(a+b)(a2ab+b2)
a3b3=(ab)(a2+ab+b2)
Substitute the above values in equation (1), we get
(a3)2(b3)2=(a+b)(a2ab+b2)(ab)(a2+ab+b2)
Therefore, the factors of the polynomial a6b6 are (a+b)(a2ab+b2)(ab)(a2+ab+b2).

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?