Simplify x3-27-x2-10 x-24-x2-4 x-12-x2-5 x-6-

The correct option is A (x^2 3x+9)/(x+4)x^3 27/x^2+10x+24×x^2+4x 12/x^2 5x+6 = nbsp;(x^2 3x+9)(x 3)/(x+6)(x+4) ×(x 2)(x+6)/(x 3)(x 2) nbsp; nbsp; n ...

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Byju's Answer

Standard X

Mathematics

Multiplication of Rational Expressions

Simplify x3-2...

Question

Simplify $\frac{x^{3} - 27}{x^{2} + 10 x + 24} \times \frac{x^{2} + 4 x - 12}{x^{2} - 5 x + 6} .$

\frac{(x^{2} - 3 x + 9)}{(x + 4)}

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\frac{(x^{2} - 3 x + 9)}{(x - 4)}

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\frac{(x^{2} - 3 x + 9)}{(x + 3)}

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\frac{(x^{2} - 3 x + 9)}{(x - 2)}

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Solution

The correct option is A $\frac{(x^{2} - 3 x + 9)}{(x + 4)}$
$\frac{x^{3} - 27}{x^{2} + 10 x + 24} \times \frac{x^{2} + 4 x - 12}{x^{2} - 5 x + 6} = \frac{(x^{2} - 3 x + 9) (x - 3)}{(x + 6) (x + 4)} \times \frac{(x - 2) (x + 6)}{(x - 3) (x - 2)}$

$= \frac{(x^{2} - 3 x + 9)}{(x + 4)}$

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Similar questions

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Simplify x3−27x2+10x+24×x2+4x−12x2−5x+6.

The correct option is A (x2−3x+9)(x+4)x3−27x2+10x+24×x2+4x−12x2−5x+6=(x2−3x+9)(x−3)(x+6)(x+4)×(x−2)(x+6)(x−3)(x−2) =(x2−3x+9)(x+4)

Simplify $\frac{x^{3} - 27}{x^{2} + 10 x + 24} \times \frac{x^{2} + 4 x - 12}{x^{2} - 5 x + 6} .$

The correct option is A $\frac{(x^{2} - 3 x + 9)}{(x + 4)}$
$\frac{x^{3} - 27}{x^{2} + 10 x + 24} \times \frac{x^{2} + 4 x - 12}{x^{2} - 5 x + 6} = \frac{(x^{2} - 3 x + 9) (x - 3)}{(x + 6) (x + 4)} \times \frac{(x - 2) (x + 6)}{(x - 3) (x - 2)}$

$= \frac{(x^{2} - 3 x + 9)}{(x + 4)}$