Question

Factorise 15 (x+y)^2 - 5x -5y

Answer 1

15(x+y)² -5x -5y
=15(x+y)² -5(x+y)
=5(x+y) (3 (x+y) - 1)           (Taking 5(x+y) common)

Answer 2

The factorisation of $15 (x+y)^2-5x-5$ is $5(x+y)(3(x+y)-1).$

Step-by-step explanation:

We have,

$15 (x+y)^2-5x-5$

To find, the factorisation of $15 (x+y)^2-5x-5=?$

∴$15 (x+y)^2-5x-5y$

$=15 (x+y)^2-5(x+y)$

$=15 (x+y)(x+y)-5(x+y)$

$=5(x+y)[3(x+y)-1]$

$=5(x+y)(3(x+y)-1)$

Hence, the factorisation of $15 (x+y)^2-5x-5$ is $5(x+y)(3(x+y)-1).$