Learn how to solve factor by difference of squares problems step by step online. Simplify the expression ((x+y)^3-(x-y)^3)/(3x^2y+y^3). Factor the polynomial 3x^2y+y^3 by it's greatest common factor (GCF): y. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). Combining like terms x and x. Cancel like terms y and -y.
Simplify the expression ((x+y)^3-(x-y)^3)/(3x^2y+y^3)
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The difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2=(a+b)(a-b) in elementary algebra.