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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 $(x+y)$.
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