Express the rational expression x2-2x-32x2-3x-5 in its lowest terms-

Factorizing both the numerator and the denominator of the given expression we have x^2 2x 32x^2 3x 5=(x+1)(x 3)(2x 5)(x+1) HCF of numerator and denominator ...

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Standard X

Mathematics

Division of Rational Expressions

Express the r...

Question

Express the rational expression $\frac{x^{2} - 2 x - 3}{2 x^{2} - 3 x - 5}$ in its lowest terms.

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Solution

Factorizing both the numerator and the denominator of the given expression we have
$\frac{x^{2} - 2 x - 3}{2 x^{2} - 3 x - 5} = \frac{(x + 1) (x - 3)}{(2 x - 5) (x + 1)}$

HCF of numerator and denominator is x+1.
Dividing both numerator and denominator of the given expression by (x+1), we have $\frac{x - 3}{2 x - 5}$ which is in its lowest terms.

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Express the rational expression x2−2x−32x2−3x−5 in its lowest terms.

Factorizing both the numerator and the denominator of the given expression we havex2−2x−32x2−3x−5=(x+1)(x−3)(2x−5)(x+1)HCF of numerator and denominator is x+1.Dividing both numerator and denominator of the given expression by (x+1), we have x−32x−5 which is in its lowest terms.

Express the rational expression $\frac{x^{2} - 2 x - 3}{2 x^{2} - 3 x - 5}$ in its lowest terms.