MyQuestionIcon

1

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

Factors of Algebraic Expressions and Factorisation

Factorise: x...

Question

Factorise: $x^{4} + x^{2} + 1$

Open in App

Solution

$= x^{4} + 2 \times x^{2} + 1 - x^{2}$

$= {(x^{2} + 1)}^{2} - x^{2}$

$= (x^{2} + 1 + x) (x^{2} + 1 - x)$

$= (x^{2} + x + 1) (x^{2} - x + 1)$

Suggest Corrections

thumbs-up

17

Similar questions

Q. Factorise the following:

x^{4} + x^{2} + 1

x^{2} + x^{4} = 90

Factorise: 1) x⁴- 14x² + 1

2) (x²- 2x)²- 23(x²- 2x) +120

x^{4} + x^{2} y^{2} + y^{4}

Factorise: x⁴-1

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Factors of Algebraic Expressions and Factorisation

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon