Find the product of the rational expressions 2x2−x−63x2+8x−3 and x+3x2−4.

2x2−x−63x2+8x−3×x+3x2−4=(2x+3)(x−2)(x+3)(3x−1)×(x+3)(x−2)(x+2)=2x+3(3x−1)(x+2)=2x+33x2+5x−2'

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Find the product of the rational expressions {3x^{2}+8x-3}{2x^

Question

Find the product of the rational expressions $\frac{3 x ^{2} + 8 x - 3}{2 x ^{2} - x - 6}$ and $\frac{x ^{2} - 4}{x + 3}$ .

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Mateo Discussed

Find the product of the rational expressions

\frac{3 x ^{2} + 8 x - 3}{2 x ^{2} - x - 6}

and

\frac{x ^{2} - 4}{x + 3}

12 mins ago

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12 mins ago

\frac{3 x ^{2} + 8 x - 3}{2 x ^{2} - x - 6} \times \frac{x ^{2} - 4}{x + 3}

= \frac{( x + 3 ) ( 3 x - 1 )}{( 2 x + 3 ) ( x - 2 )} \times \frac{( x - 2 ) ( x + 2 )}{( x + 3 )}

= \frac{( 3 x - 1 ) ( x + 2 )}{2 x + 3}

= \frac{3 x ^{2} + 5 x - 2}{2 x + 3}

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Question Text	Find the product of the rational expressions $\frac{3 x ^{2} + 8 x - 3}{2 x ^{2} - x - 6}$ and $\frac{x ^{2} - 4}{x + 3}$ .
Answer Type	Text solution:1
Upvotes	150