Question

Factor: 36a^2b^100-1

Answer 1

Welcome to QuestionCove.
What is your question? o:

Answer 2

i am stuck on this one question that wants me to factor 36a^2b^100-1

Answer 3

Elsa, she already posted her problem.

Answer 4

@madamerockles are you familiar with difference of squares formula?

Answer 5

not really i missed alot of school so im really confuse on most of my work

Answer 6

The difference of squares formula says
\(a^2 - b^2 = (a + b)(a - b)\)

In this case we can re-write the given problem in the following manner:
\(36a^2 b^{100} - 1 = (6ab^{10})^2 - 1^2\)

Answer 7

oh okk i understand now thank you

Answer 8

In other words, in this case:
let \(a = 6ab^{10}\)
and \(b = 1\)

Thus you should factor and get:
\((6ab^{10} - 1)(6ab^{10}+1)\)