Question

Factorise (x+y)(2x+3y)-(x+y)(x-7y)
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Answer 1

Answer:

(x+y)(x+10y)

Step-by-step explanation:

(x+y) (2x+3y-(x-7y))

=(x+y) (2x+3y-x+7y)

=(x+y) (x+3y+7y)

=(x+y) (x+10y)

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Answer 2

The factorisation of $(x+y)(2x+3y)-(x+y)(x-7y)$ is $(x+y)(x+10y)$.

Step-by-step explanation:

We have,

$(x+y)(2x+3y)-(x+y)(x-7y)$

To find, the factorisation of $(x+y)(2x+3y)-(x+y)(x-7y)=?$

∴ $(x+y)(2x+3y)-(x+y)(x-7y)$

Taking comon as (x + y), we get

$= (x+y)[(2x+3y)-(x-7y)]$

$=(x+y)(2x+3y-x+7y)$

$=(x+y)(x+10y)$

∴ The factorisation of $(x+y)(2x+3y)-(x+y)(x-7y)$ is $(x+y)(x+10y)$.

Hence, the factorisation of $(x+y)(2x+3y)-(x+y)(x-7y)$ is $(x+y)(x+10y)$.