Question
Perform the indicated operations and, if possible, simplify.$$\frac{4 x^{2}-9 y^{2}}{8 x^{3}-27 y^{3}} \div \frac{4 x+6 y}{3 x-9 y} \cdot \frac{4 x^{2}+6 x y+9 y^{2}}{4 x^{2}-8 x y+3 y^{2}}$$
Step 1
Step 1: First, we rewrite the given expression by factoring out the squares and cubes: $$ \frac{(2x)^{2}-(3y)^{2}}{(2x)^{3}-(3y)^{3}} \div \frac{4x+6y}{3x-3y} \cdot \frac{(2x)^{2}+2(2x)(3y)+(3y)^{2}}{(2x)^{2}-2(2x)(3y)+(3y)^{2}} $$ Show more…
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