5
If x + y = 8 and x - y = 2, find the value of 2x^2 + 2y^2.
Hint. 2(x^2 + y^2) = (x + y)^2 + (x - y)^2.
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4
Answer:
First you solve ,
(x+y)^2+(x-y)^2
=8^2+2^2
=64+4
=68
therefore,
=2x^2+2y^2
=(x+y)^2+(x-y)^2
=68
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