The expression x4-4 can be factorized asa x2-2 x-2x2-2 x-2b x2-2 x-2x2-2 x-2c x2-2 x-2x2-2 x-2d x2-2x2-2

The given expression to be factorized is This can be written in the form nbsp; So, the correct choice is (a). ...

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Byju's Answer

Standard IX

Mathematics

Polynomials

The expressio...

Question

The expression x⁴ + 4 can be factorized as

(a) (x² + 2x + 2) (x² − 2x + 2)

(b) (x² + 2x + 2) (x² + 2x + 2)

(c) (x² − 2x − 2) (x²− 2x + 2)

(d) (x² + 2) (x² − 2)

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Solution

The given expression to be factorized is

This can be written in the form

So, the correct choice is (a).

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Similar questions

The expresssion $x^{4} + 4$ can be factorized as

Subtract: 2 x^{2} + 6 - 4 x from 3 x^{2} - 6 x + 8.

Q. Subtracting

2 x^{2} + 6 - 4 x

from

3 x^{2} - 6 x + 8

gives .

${lim}_{x \to \sqrt{2}} \frac{x^{2} - 2}{x^{2} + \sqrt{2 x} - 4}$

Question 2
Which of the following is not a quadratic equation?
(a) $2 (x - 1)^{2} = 4 x^{2} - 2 x + 1$
(b) $2 x - x^{2} = x^{2} + 5$
(c) ${(\sqrt{2} x + \sqrt{3})}^{2} = 3 x^{2} - 5 x$
(d) $(x^{2} + 2 x)^{2} = x^{4} + 3 + 4 x^{3}$

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The expression x4 + 4 can be factorized as (a) (x2 + 2x + 2) (x2 − 2x + 2) (b) (x2 + 2x + 2) (x2 + 2x + 2) (c) (x2 − 2x − 2) (x2 − 2x + 2) (d) (x2 + 2) (x2 − 2)

The given expression to be factorized is This can be written in the form So, the correct choice is (a).

The expression x⁴ + 4 can be factorized as

(a) (x² + 2x + 2) (x² − 2x + 2)

(b) (x² + 2x + 2) (x² + 2x + 2)

(c) (x² − 2x − 2) (x²− 2x + 2)

(d) (x² + 2) (x² − 2)

The given expression to be factorized is

This can be written in the form

So, the correct choice is (a).