MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Addition of Rational Expressions

Evaluate: x+...

Question

Evaluate:

$\frac{x + 2}{(x + 1) (2 x + 3)} - \frac{2 x + 3}{(x + 1) (x + 2)} + \frac{3 x + 5}{(2 x + 3) (x + 2)}$

A

2x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 0
Given, $\frac{x + 2}{(x + 1) (2 x + 3)} - \frac{2 x + 3}{(x + 1) (x + 2)} + \frac{3 x + 5}{(2 x + 3) (x + 2)}$
$\Rightarrow \frac{{(x + 2)}^{2} - {(2 x + 3)}^{2} + (3 x + 5) (x + 1)}{(x + 1) (x + 2) (2 x + 3)}$
$\Rightarrow \frac{(x^{2} + 4 x + 4) - (4 x^{2} + 12 x + 9) + (3 x^{2} + 8 x + 5)}{(x + 1) (x + 2) (2 x + 3)}$
$\Rightarrow \frac{x^{2} + 4 x + 4 - 4 x^{2} - 12 x - 9 + 3 x^{2} + 8 x + 5}{(x + 1) (x + 2) (2 x + 3)}$
$\Rightarrow \frac{0}{(x + 1) (x + 2) (2 x + 3)} = 0$

Suggest Corrections

thumbs-up

0

Similar questions

[\frac{1}{(x - 1) (x - 2)} + \frac{1}{(x - 2) (x - 3)} + \frac{1}{(x - 3) (x - 4)}] = \frac{1}{6}

\int_{- \sqrt{2}}^{2 π} \frac{2 x^{7} + 3 x^{6} - 10 x^{5} - 7 x^{3} - 12 x^{2} + x + 1}{x^{2} + 2} d x

{lim}_{x - 1} \frac{x^{7} - 2 x^{5} + 1}{x^{3} - 3 x^{2} + 2}

lim x \to 2 \frac{\sqrt{x + 7} - 3 \sqrt{2 x - 3}}{\sqrt[3]{x + 6} - 2 \sqrt[3]{3 x - 5}}

lim x \to 1 \frac{x^{7} - 2 x^{5} + 1}{x^{3} - 3 x^{2} + 2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Adaptive Q28

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Addition of Rational Expressions

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon