Math
posted by Stephen
a/b + b/a = x
a/b  b/a = y
in the equation above, if a is (not equal) to 0 and b is (not equal) to 0, which of the following must be equal to x^2y^2?
a. 2
b. 4
c. ab/2
d. a^2 b^2/2
e. 4a^2b^2

Reiny
x^2  y^2 = (x+y)(xy)
but x+y = a/b + b/a + a/b  b/a = 2a/b
and xy = a/b + b/a  a/b + b/a = 2b/a
so (x+y)(xy) = (2a/b)(2b/a) = 4
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