Simplify 6 x2-13 x-5-9 x2-3 x-2-3 x2-10 x-8-16 x2-1-

The correct option is D (2x+5)(x 4)/(4x+1)(4x 1)6x^2+13x 5/9x^2+3x 2×3x^2 10x 8/16x^2 1= (2x+5)(3x 1)/(3x 1)(3x+2) nbsp;× nbsp;(3x+2)(x 4)/(4x+1)(4x 1) = ...

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Byju's Answer

Standard X

Mathematics

Multiplication of Rational Expressions

Simplify 6 x2...

Question

Simplify $\frac{6 x^{2} + 13 x - 5}{9 x^{2} + 3 x - 2} \times \frac{3 x^{2} - 10 x - 8}{16 x^{2} - 1} .$

\frac{(2 x + 5) (x - 4)}{(4 x + 1)^{2}}

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\frac{(2 x + 5) (x - 4)}{(4 x + 1) (4 x - 1)}

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\frac{(2 x - 5) (x - 4)}{(4 x + 1) (4 x - 1)}

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\frac{(2 x - 5) (x + 4)}{(4 x + 1) (4 x - 1)}

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Solution

The correct option is B $\frac{(2 x + 5) (x - 4)}{(4 x + 1) (4 x - 1)}$
$\frac{6 x^{2} + 13 x - 5}{9 x^{2} + 3 x - 2} \times \frac{3 x^{2} - 10 x - 8}{16 x^{2} - 1} = \frac{(2 x + 5) (3 x - 1)}{(3 x - 1) (3 x + 2)} \times \frac{(3 x + 2) (x - 4)}{(4 x + 1) (4 x - 1)}$

$= \frac{(2 x + 5) (x - 4)}{(4 x + 1) (4 x - 1)}$

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Simplify 6x2+13x−59x2+3x−2×3x2−10x−816x2−1.

The correct option is B (2x+5)(x−4)(4x+1)(4x−1)6x2+13x−59x2+3x−2×3x2−10x−816x2−1=(2x+5)(3x−1)(3x−1)(3x+2)×(3x+2)(x−4)(4x+1)(4x−1) =(2x+5)(x−4)(4x+1)(4x−1)

Simplify $\frac{6 x^{2} + 13 x - 5}{9 x^{2} + 3 x - 2} \times \frac{3 x^{2} - 10 x - 8}{16 x^{2} - 1} .$