Question

Simplify (8x^2 y^2 -4xy) /4xy

Answer 1

Best thing to do here is to separate the numerator into 2 separate expressions, each one over the denominator. Like this:
`(8x^2y^2)/(4xy)- (4xy)/(4xy)`. In the expression on the left, 8/4 = 2, x^2/x = x, y^2/y = y. That is 2xy. The right side is equal to 1, so the final simplfication is 2xy-1