MyQuestionIcon

2

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

Factorisation Using Algebraic Identities

xxiv Factoris...

Question

Question 92 (xxiv)

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

$y^{4} - 81$

Open in App

Solution

$y^{4} - 81 = (y^{2})^{2} - (9)^{2} = (y^{2} + 9) (y^{2} - 9) = (y^{2} + 9) [(y)^{2} - (3)^{2}] = (y^{2} + 9) (y + 3) (y - 3)$

Suggest Corrections

thumbs-up

0

Similar questions

Question 92 (xxii)

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

$16 x^{4} - 81$

Question 92 (xx)

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

$y^{4} - 625$

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 (xxvii)

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

$(x + y)^{4} - (x - y)^{4}$

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