SOLUTION: I am having trouble factoring this. Could you please help? Thank you. x^2+2x(x-y)+(x-y)^2

Algebra ->  Equations -> SOLUTION: I am having trouble factoring this. Could you please help? Thank you. x^2+2x(x-y)+(x-y)^2       Log On


   

Question 1086508: I am having trouble factoring this. Could you please help? Thank you.
x^2+2x(x-y)+(x-y)^2
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+%2B+2x%2A%28+x-y+%29+%2B+%28+x-y+%29%5E2+
Rewrite it in the reverse direction
+%28+x-y+%29%5E2+%2B+2x%2A%28+x-y+%29+%2B+x%5E2+
+%28+%28+x-y+%29+%2B+x+%29%5E2+
or, reducing further:
+%28+2x+-+y+%29%5E2+
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I'll do a rough check.
suppose +x+=+11+ and +y+=+7+
+x%5E2+%2B+2x%2A%28+x-y+%29+%2B+%28+x-y+%29%5E2+
+11%5E2+%2B+2%2A11%2A4+%2B+4%5E2+
+121+%2B+88+%2B+16+
+225+
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And the solution:
+%28+2x+-+y+%29%5E2+
+%28+2%2A11+-+7+%29%5E2+
+%28+22+-+7+%29%5E2+
+15%5E2+
+225+
I could be right