Factorise $x^2+xy+8x+8y$.

Given:

The given expression is $x^2+xy+8x+8y$.

To do:

We have to factorise the given expression.

Solution:

$x^2+xy+8x+8y=x(x+y)+8(x+y)$     (Taking $x$ common from the first two terms and $8$ common from the next two terms)

$=(x+8)(x+y)$

Therefore,

Factors of $8x^2+xy+8x+8y$ are $(x+8)$ and $(x+y)$. 

Tutorialspoint

Updated on: 10-Oct-2022

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