Simplify 3-12 x2-2 x2-15 x-8-x2-5 x-24-8 x2-28 x-12

The correct option is A 3(x+3)/4(x 3) nbsp;3 12x^2/2x^2 15x 8×x^2 5x 24/8x^2 28x+12 = 3(2x+1)(2x 1)/(2x+1)(x 8)×(x+3)(x 8)/4(2x 1)(x 3) = 3(x+3)/4(x 3) ...

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Byju's Answer

Standard X

Mathematics

Multiplication of Rational Expressions

Simplify 3-12...

Question

Simplify $\frac{3 - 12 x^{2}}{2 x^{2} - 15 x - 8} \times \frac{x^{2} - 5 x - 24}{8 x^{2} - 28 x + 12} .$

\frac{- 3 (x + 3)}{4 (x - 3)}

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\frac{- 3 (x - 3)}{4 (x + 3)}

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\frac{- 4 (x - 3)}{3 (x + 3)}

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\frac{- 4 (x + 3)}{3 (x - 3)}

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Solution

The correct option is A $\frac{- 3 (x + 3)}{4 (x - 3)}$
$\frac{3 - 12 x^{2}}{2 x^{2} - 15 x - 8} \times \frac{x^{2} - 5 x - 24}{8 x^{2} - 28 x + 12} = \frac{- 3 (2 x + 1) (2 x - 1)}{(2 x + 1) (x - 8)} \times \frac{(x + 3) (x - 8)}{4 (2 x - 1) (x - 3)}$

$= \frac{- 3 (x + 3)}{4 (x - 3)}$

Suggest Corrections

Simplify 3−12x22x2−15x−8×x2−5x−248x2−28x+12.

The correct option is A −3(x+3)4(x−3)3−12x22x2−15x−8×x2−5x−248x2−28x+12=−3(2x+1)(2x−1)(2x+1)(x−8)×(x+3)(x−8)4(2x−1)(x−3) =−3(x+3)4(x−3)

Simplify $\frac{3 - 12 x^{2}}{2 x^{2} - 15 x - 8} \times \frac{x^{2} - 5 x - 24}{8 x^{2} - 28 x + 12} .$

The correct option is A $\frac{- 3 (x + 3)}{4 (x - 3)}$
$\frac{3 - 12 x^{2}}{2 x^{2} - 15 x - 8} \times \frac{x^{2} - 5 x - 24}{8 x^{2} - 28 x + 12} = \frac{- 3 (2 x + 1) (2 x - 1)}{(2 x + 1) (x - 8)} \times \frac{(x + 3) (x - 8)}{4 (2 x - 1) (x - 3)}$

$= \frac{- 3 (x + 3)}{4 (x - 3)}$