Simplify x2-11 x-24-x2-15 x-56-x2-x-12-x2-11 x-28

The correct option is A (x+8)/(x 8)x^2+11x+24/x^2 15x+56÷x^2 x 12/x^2 11x+28 = (x+3)(x+8)/(x 7)(x 8)÷(x 4)(x+3)/(x 7)(x 4) nbsp; nbsp; nbsp; nbsp; ...

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Byju's Answer

Standard X

Mathematics

Division of Rational Expressions

Simplify x2+1...

Question

Simplify $\frac{x^{2} + 11 x + 24}{x^{2} - 15 x + 56} \div \frac{x^{2} - x - 12}{x^{2} - 11 x + 28} .$

\frac{(x + 8)}{(x - 8)}

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\frac{(x - 8)}{(x + 8)}

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

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

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Solution

The correct option is A $\frac{(x + 8)}{(x - 8)}$
$\frac{x^{2} + 11 x + 24}{x^{2} - 15 x + 56} \div \frac{x^{2} - x - 12}{x^{2} - 11 x + 28} = \frac{(x + 3) (x + 8)}{(x - 7) (x - 8)} \div \frac{(x - 4) (x + 3)}{(x - 7) (x - 4)}$

$= \frac{(x + 3) (x + 8)}{(x - 7) (x - 8)} \times \frac{(x - 7) (x - 4)}{(x - 4) (x + 3)}$

$= \frac{(x + 8)}{(x - 8)}$

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Similar questions

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Simplify x2+11x+24x2−15x+56÷x2−x−12x2−11x+28.

The correct option is A (x+8)(x−8)x2+11x+24x2−15x+56÷x2−x−12x2−11x+28=(x+3)(x+8)(x−7)(x−8)÷(x−4)(x+3)(x−7)(x−4) =(x+3)(x+8)(x−7)(x−8)×(x−7)(x−4)(x−4)(x+3) =(x+8)(x−8)

Simplify $\frac{x^{2} + 11 x + 24}{x^{2} - 15 x + 56} \div \frac{x^{2} - x - 12}{x^{2} - 11 x + 28} .$