Factorise the following expression by regrouping the terms.$4u^2- 10uv-6uw+15vw$

Given:

$4u^2- 10uv-6uw+15vw$

To do:

We have to factorise the given expression.

Solution:

$4u^2- 10uv-6uw+15vw=2u(2u-3w)-5v(2u-3w)$                        

$=(2u-3w)(2u-5v)$ 

Therefore, $4u^2- 10uv-6uw+15vw=(2u-3w)(2u-5v)$.

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Updated on: 10-Oct-2022

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