Multiply the following rational expressions: (frac{4x^{2}-9}{3x^{2}-5x+2}) and (frac{2x-1}{2x^{2}+5x-3})

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Step:1 ：First, factorize the expressions: (frac{(2x+3)(2x-3)}{(3x-2)(x-1)}) and (frac{2x-1}{(2x-1)(x+3)})Step:2 ：Then, cancel out the common terms in numerator and denominator: (frac{(2x+3)(2x-3)}{(3x-2)(x-1)} * frac{1}{(x+3)})Step:3 ：Finally, simplify the expression: (frac{(2x-3)}{(3x-2)(x-1)})

Answer

Step: 1 ：First, factorize the expressions: (frac{(2x+3)(2x-3)}{(3x-2)(x-1)}) and (frac{2x-1}{(2x-1)(x+3)})Step: 2 ：Then, cancel out the common terms in numerator and denominator: (frac{(2x+3)(2x-3)}{(3x-2)(x-1)} * frac{1}{(x+3)})Step: 3 ：Finally, simplify the expression: (frac{(2x-3)}{(3x-2)(x-1)})

Multiply the following rational expressions: \(\frac{4x^{2}-9}{3x^{2}-5x+2}\) and \(\frac{2x-1}{2x^{2}+5x-3}\)

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