Given that x-y=7 and xy=8, find the value of (x+y) (x+y)
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Answer:
Given:
xy =8
x-y=7
x=7+y
Now, (x+y) (x+y)
=(x+y)²
=x²+2xy +y²
=(7+y)² +2×8+y²
=49+14y+y²+16+y²
=2y²+14y+65
Therefore, (x+y) (x+y) =2y²+14y+65
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