Question 627873
The numerator is a difference of two squares. To factor the difference of two squares use the pattern {{{a^2 - b^2 = (a-b)(a+b)}}}. Therefore the factored form of the numerator is {{{(8x-10y)(8x+10y)}}}. Since the numerator and denominator have common factor {{{8x+10y}}}, we cancel it. The result is {{{8x-10y}}}.

In symbol: {{{(8x-10y)(cross(8x+10y))/(cross(8x+10y))}}} = {{{highlight(8x-10y)}}}