MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Factorisation Using Algebraic Identities

xix Factorise...

Question

Question 92 (xix)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$x^{4} - 1$

Open in App

Solution

$x^{4} - 1 = (x^{2})^{2} - 1 = (x^{2} + 1) (x^{2} - 1) = (x^{2} + 1) (x + 1) (x - 1)$

Suggest Corrections

thumbs-up

1

Similar questions

Question 92 (xxiii)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$x^{4} - y^{4}$

Question 92 (vi)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$9 x^{2} - 1$

Question 92 (xxv)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$16 x^{4} - 625 y^{4}$

Question 92 (v)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$28 a y^{2} - 175 a x^{2}$

Question 92 (xxvi)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$(a - b)^{2} - (b - c)^{2}$

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Factorisation Using Algebraic Identities

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon