# Factorize Each of the Following Expression: X2 − 11xy − X + 11y - Mathematics

Sum

Factorize each of the following expression:
x2 − 11xy − x + 11y

#### Solution

$x^2 - 11xy - x + 11y = ( x^2 - x) + (11y - 11xy)$[Regrouping the expressions]
$= x(x - 1) + 11y(1 - x)$
$= x(x - 1) - 11y(x - 1) [ \because (1 - x) = - (x - 1)]$
$= (x - 11y)(x - 1)$[Taking out the common factor (x - 1)]

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.4 | Q 22 | Page 12