SOLUTION: Please help with the following: Factor: 36𝑎^2 − 𝑏^2/4 Thank you!

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Question 1094768: Please help with the following:
Factor: 36𝑎^2 − 𝑏^2/4

Thank you!
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
= %286a%29%5E2-+%28b%2F2%29%5E2 = %286a-b%2F2%29%2A%286a%2Bb%2F2%29.


The basic identity is  x%5E2-y%5E2 = %28x-y%29%2A%28x%2By%29,


which you must memorize.


1. The square of the sum formula is                 %28a+%2B+b%29%5E2+=+a%5E2+%2B+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the sum formula in this site.


2. The square of the difference formula is     %28a+-+b%29%5E2+=+a%5E2+-+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the difference formula in this site.


3. The difference of squares formula is       a%5E2+-+b%5E2+=+%28a+%2B+b%29%2A%28a-+b%29.
      For details and examples of applications of this formula see the lesson The difference of squares formula in this site.