Factorize the following expression-x2-1-x2-2-3x-3-x

Factorizing the given expression:x^2+1/x^2 2 3x+3/x0ex0ex=x^2 2+1/x^2 3(x 1/x)0ex0ex=(x 1/x)^2 3(x 1/x) (Using the formula of (a b)^2=a^2 2ab+b^2)0ex0ex=(x ...

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

Byju's Answer

Standard IX

Mathematics

Ratio and Proportion

Factorize the...

Question

Factorize the following expression:
$x^{2} + \frac{1}{x^{2}} - 2 - 3 x + \frac{3}{x}$

Open in App

Solution

Factorizing the given expression:
$x^{2} + \frac{1}{x^{2}} - 2 - 3 x + \frac{3}{x} = x^{2} - 2 + \frac{1}{x^{2}} - 3 (x - \frac{1}{x}) = {(x - \frac{1}{x})}^{2} - 3 (x - \frac{1}{x}) (U \sin g t h e f o r m u l a o f {(a - b)}^{2} = a^{2} - 2 a b + b^{2}) = (x - \frac{1}{x}) (x - \frac{1}{x} - 3)$
Hence, after factorizing we get $x^{2} + \frac{1}{x^{2}} - 2 - 3 x + \frac{3}{x} = (x - \frac{1}{x}) (x - \frac{1}{x} - 3) .$

Suggest Corrections

135

Similar questions

Q. Factorize each of the following algebraic expression:
40 + 3x − x²

The factors of x⁴ + x² + 25 are

(a) (x² + 3x + 5) (x² − 3x + 5)

(b) (x²+ 3x + 5) (x² + 3x − 5)

(c) (x² + x +5) (x² − x + 5)

(d) none of these

Q. Factorize each of the following algebraic expression:
96 − 4x − x²

Find the range of $x$ for the following expression:

$∣ ∣ \frac{x^{2} - 3 x + 2}{x^{2} + 3 x + 2} ∣ ∣ \geq 1$

Factorize the following expression

(x^{2} + 2 x + 1)

Join BYJU'S Learning Program

Factorize the following expression:x2+1x2-2-3x+3x

Factorizing the given expression:x2+1x2-2-3x+3x=x2-2+1x2-3(x-1x)=(x-1x)2-3(x-1x)(Usingtheformulaof(a-b)2=a2-2ab+b2)=(x-1x)(x-1x-3)Hence, after factorizing we get x2+1x2-2-3x+3x=(x-1x)(x-1x-3).

Factorize the following expression:
$x^{2} + \frac{1}{x^{2}} - 2 - 3 x + \frac{3}{x}$