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Question 221427: (ax+by)^2 +(bx-ay)^2
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! (ax+by)^2 +(bx-ay)^2
(a^2x^2 + 2abxy + b^2y^2) + (b^2x^2 -2abxy + a^2y^2)
a^2x^2 + b^2y^2 + b^2x^2 + a^2y^2
Did you want to factor this? If so, do factoring by grouping:
a^2x^2 + b^2x^2 + b^2y^2 + a^2y^2
x^2(a^2 +b^2) + y^2(a^2 + b^2)
(a^2 + b^2) (x^2+y^2)
R^2
Dr. Robert J. Rapalje
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