(64x^2-100x^2)/(8x+10y)

You should recognize the numerator as the "difference of squares"; can be factored to:

Cancel out (8x+10y) leaving

8x-10y

:

2. Short Answer. The length of the side of a rectangular desk is given by 2x - 6y cm. The length of the front is given by 2x + 6y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.

:

A = L * W

A = (2x-6y)*(2x+6y)

FOIL

A = 4x^2 + 12xy - 12xy - 36y^2

A = 4x^2 - 36y^2 sq/cm