Question
Multiply and, if possible, simplify.$$\frac{x^{3}+y^{3}}{x^{2}+2 x y-3 y^{2}} \cdot \frac{x^{2}-y^{2}}{3 x^{2}+6 x y+3 y^{2}}$$
Step 1
We know that the factor of \(x^{3}+y^{3}\) is \((x+y)(x^{2}-xy+y^{2})\). Similarly, the factor of \(x^{2}+2xy-3y^{2}\) is \((x+3y)(x-y)\) and the factor of \(3x^{2}+6xy+3y^{2}\) is \(3(x+y)^{2}\). Show more…
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