Verify whether the rational expression x2-12x-1x-2 is in its lowest terms-

The given rational expression can be written as (x+1)(x 1)(2x+1)(x+2) and clearly HCF of numerator and denominator of the given expression is 1.Therefore, ...

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Standard X

Mathematics

Method of Finding HCF

Verify whethe...

Question

Verify whether the rational expression $\frac{x^{2} - 1}{(2 x + 1) (x + 2)}$ is in its lowest terms.

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Solution

The given rational expression can be written as $\frac{(x + 1) (x - 1)}{(2 x + 1) (x + 2)}$ and clearly HCF of numerator and denominator of the given expression is 1.
Therefore, it is in its lowest terms.

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Q. Express the rational expression

\frac{x^{2} - 2 x - 3}{2 x^{2} - 3 x - 5}

in its lowest terms.

Q. Express the following rational expressions in its lowest term.

\frac{(x - 3) (x^{2} - 5 x + 4)}{(x - 4) (x^{2} - 2 x - 3)}

Simplify the rational expression into lowest terms $\frac{x^{2} - 7 x + 10}{x^{2} - 12 x + 35}$ .

Q. If

f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \begin{matrix} \frac{x^{2} - 1}{x + 1} & x \neq - 1 - 2 & x = - 1 \end{matrix} \end{matrix}

so verify whether the function

f (x)

is continuous at

x = - 1

Simplify the rational expression $\frac{a^{2} - 1}{a^{4} - 1}$ into lowest terms

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Verify whether the rational expression x2−1(2x+1)(x+2) is in its lowest terms.

The given rational expression can be written as (x+1)(x−1)(2x+1)(x+2) and clearly HCF of numerator and denominator of the given expression is 1.Therefore, it is in its lowest terms.

Verify whether the rational expression $\frac{x^{2} - 1}{(2 x + 1) (x + 2)}$ is in its lowest terms.

The given rational expression can be written as $\frac{(x + 1) (x - 1)}{(2 x + 1) (x + 2)}$ and clearly HCF of numerator and denominator of the given expression is 1.
Therefore, it is in its lowest terms.