Question

3xy+9y+18 factorise​

Answer 1

3xy+9y+18

=3(xy+3y+6)

Answer 2

$3xy + 9y + 18 = 3(xy +3y + 6)$

Solution:

Given that, we have to factorize:

$3xy + 9y + 18$

We have to write the given equation as product of two factors

From given,

$3xy+9y+18\\\\\mathrm{Rewrite\:}18\mathrm{\:as\:}6\cdot \:3\\\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\\\3xy+3\cdot \:3y+6\cdot \:3\\\\\mathrm{Factor\:out\:common\:term\:}3\\\\3\left(xy+3y+6\right)$

Thus the given expression is factored

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