SOLUTION: Simplify: (root of 5x - 2 root of y)(root of 5x + 2 root of y)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify: (root of 5x - 2 root of y)(root of 5x + 2 root of y)      Log On


   

Question 1030150: Simplify:
(root of 5x - 2 root of y)(root of 5x + 2 root of y)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+sqrt%28+5x+%29+-+2%2Asqrt%28+y+%29+%29%2A%28+sqrt%28+5x+%29+%2B+2%2Asqrt%28+y+%29+%29+
Is this correct? If so, this is in the form:
+%28+a+%2B+b+%29%2A%28+a+-+b+%29+=+a%5E2+%2B+ab+-+ab+-+b%5E2+
+%28+a+%2B+b+%29%2A%28+a+-+b+%29+=+a%5E2+-+b%5E2+
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In this case:
+a+=+sqrt%28+5x+%29+
+b+=+2%2Asqrt%28+y+%29+
So, the solution is:
+a%5E2+-+b%5E2+=+%28+sqrt%28+5x+%29+%29%5E2+-+%28+2%2Asqrt%28+y+%29+%29%5E2+
+a%5E2+-+b%5E2+=+5x+-+4y+