Factorise: 2x² - 2y + 4xy - x

Solution:

Factorization of an algebraic expression refers to finding out the factors of the given algebraic expression.

Given, 2x² - 2y + 4xy - x

This expression does not have a common factor in all the terms.

Rearranging the terms, we can write it as

2x² - x + 4xy - 2y

= x(2x -1) + 2y(2x - 1)

= (x + 2y) (2x - 1)

✦ Try This: Factorise: 10p² + 3q - 2p - 15pq

Given,10p² + 3q - 2p - 15pq

= 10p² - 15pq + 3q - 2p

= 5p( 2p - 3q) - 1( 2p - 3q)

=(2p - 3q)(5p - 1)

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 88(xiv)

Factorise: 2x² - 2y + 4xy - x

Summary:

Factorising 2x² - 2y + 4xy - x we get, (x + 2y) (2x - 1)

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