Final Answer
Step-by-step Solution
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Multiplying the fraction by $\sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}$
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$\frac{\left(x^2-y^2\right)\sqrt{\frac{\left(x^3-y^3\right)\left(x^2+2xy+y^2\right)}{\left(x+y\right)\left(x^2+xy+y^2\right)}}}{4}$
Learn how to solve factor problems step by step online. Factor the expression (((x^3-y^3)/(x+y)(x^2+2xyy^2))/(x^2+xyy^2))^1/2(x^2-y^2)/4. Multiplying the fraction by \sqrt{\frac{\frac{x^3-y^3}{x+y}\left(x^2+2xy+y^2\right)}{x^2+xy+y^2}}. The trinomial \left(x^2+2xy+y^2\right) is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.