Factorise the following expressions by splitting the middle term.$4x^2+ 12xy + 9y^2$

Given:

$4x^2+ 12xy + 9y^2$

To do:

We have to factorise the given expression by splitting the middle term.

Solution:

$4x^2+ 12xy + 9y^2=4x^2+6xy+6xy+9y^2$

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

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

$=(2x+3y)^2$

Therefore, $4x^2+ 12xy + 9y^2=(2x+3y)^2$.

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Updated on: 10-Oct-2022

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