Factorise:
$a x + b x - a y - b y$

(x + y) (a + b)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(x - a) (a + y)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(x - y) (a + b)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(x + a) (a - y)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $(x - y) (a + b)$
$a x + b x - a y - b y$
$= (a x + b x) - (a y + b y)$
[Grouping the terms]
$= (a + b) x - (a + b) y$
$= (a + b) (x - y)$
[Taking (a + b) common]

Suggest Corrections

Similar questions

Factorise: $a x + b x + a y + b y$

(x + y) (a + b) + (x - y) (a + b)

Factorise: $2 a x + 2 b x - a y - b y$

\frac{{(\frac{1}{x} + y)}^{(a + b)} {(\frac{1}{y} - x)}^{- (p + q)}}{{(\frac{1}{x} - y)}^{- (p + q)} {(x + \frac{1}{y})}^{(a + b)}}

(x + y) (a + b) + (x - y) (a + b)

Join BYJU'S Learning Program