MyQuestionIcon

3

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Factors of Algebraic Expressions and Factorisation

Factorise the...

Question

Factorise the following expression-
$81 x^{2} - 198 x y + 121 y^{2}$

Open in App

Solution

$81 x^{2} - 198 x y + 121 y^{2}$
$= 81 x^{2} - 99 x y - 99 x y + 121 y^{2}$
$= 9 x (9 x - 11 y) - 11 y (9 x - 11 y)$
$= (9 x - 11 y) (9 x - 11 y)$

Suggest Corrections

thumbs-up

1

Similar questions

Q. Factorise the following expression:

5 x^{2} y - 15 x y^{2}

Q. Factorise: (

81 x^{2} - 64 y^{2}

81 x^{2} y^{2} - 16

81 x^{2} - 49 y^{2}

.

Q. State true or false, if the expansion of the following expression is:

(9 x + 2 y + z)^{2} = 81 x^{2} + 4 y^{2} + z^{2} + 36 x y + 4 y z + 18 z x

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