Question

Factor 4a^2-9b^2

Answer 1

Do you know the rule \[\large a^2-b^2=(a-b)(a+b)\]

Answer 2

Yes I just cant work out the numbers in my head at the moment. After working on this summer math for the past hour my brain is a bit fried haha

Answer 3

Well, to use that rule, you have to be able to write your expression as a difference of squares, right? So you need to figure out what to square to get each term:\[\large\left( ? \right)^2=4a^2\]\[\large\left( ? \right)^2=9b^2\]

Answer 4

Is this right?
\[(2a-3b)(2a+3b)\]

Answer 5

That's it! Good job! :)