Question

si P=(x+y)2 y Q=(x-y)2, exprese P+Q/P-Q en terminos de x y y

Answer 1

P=(x+y)2
P=2x+2y

Q=(x-y)2
Q=2x-2y

$\frac{P+Q}{P-Q} = \frac{(2x+2y)+(2x-2y)}{(2x+2y)-(2x-2y)}$

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

$\frac{2x+2y+2x-2y}{2x+2y-2x+2y} = \frac{4x}{4y} = \frac{x}{y}$