Question

Factor:
25a^2-36b^2

Answer 1

remember (x-y)(x+y)=x^2-y^2. Apply that pattern to this case and I'll check your work.

Answer 2

For the coefficients (numbers) try to find a number that you can square that is equal to it:
Eg. 25 = 5^2
25a^2, written as a square is: (5a)^2.
36b^2, written as a square is?
Then factor using the difference of 2 squares: (x^2-y^2) = (x-y)(x+y). Note in your question x = 5a.
Hope this is helpful.

Answer 3

This is a difference of squares (5a)^2 - (6b)^2

Answer 4

so it would be 5a^2-6b^2=(5a-6b)(5a+6b)?

Answer 5

Yes.

Answer 6

so then how do you completely factor that?

Answer 7

That is completely factored.

Answer 8

oh! i see..