SOLUTION: Can you help me factor this polynomial 225 x 2 k - 196 y 2 k PLEASE

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Question 32050This question is from textbook
: Can you help me factor this polynomial 225 x 2 k - 196 y 2 k PLEASE This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Try this:
Factor:
225x%5E2k-196y%5E2k First, factor the k.
k%28225x%5E2-196y%5E2%29 Notice that inside the parentheses you have the difference of two squares. The difference of two squares can be factored thus:
A%5E2+-+B%5E2+=+%28A-B%29%28A%2BB%29 For your problem, you have:
%2815x%29%5E2+-+%2814y%29%5E2+=+%2815x+-+14y%29%2815x+%2B+14y%29 The final answer is:
225x%5E2k+-+196y%5E2k+=+k%2815x+-+14y%29%2815x+%2B+14y%29