1.

The product of the rational expressions \(\frac{x^2 - y^2}{x^2+2xy+y^2}\) and \(\frac{xy+y^2}{x^2 - xy}\) is :(a) xy (b) y/x (c) x/y (d) 1

Answer»

(b) \(\frac{y}{x}\)

Reqd. product = \(\frac{x^2 - y^2}{x^2+2xy+y^2}\) x \(\frac{xy+y^2}{x^2 - xy}\)

= \(\frac{(x + y)(x + y)}{(x+y)^2}\times\frac{y(x+y)}{x(x-y)}\)

= \(\frac{y}{x}\)


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