Factorise $16(2p-3q)^2-4(2p-3q)$.


Given:

Given expression is $16(2p-3q)^2-4(2p-3q)$.

To do:

We have to factories the given expression.

Solution:

$16(2p-3q)^2-4(2p-3q)=4(2p-3q)[4(2p-3q)-1]$
$=4(2p-3q)(8p-12q-1)$
Factorisation of the expression $16(2p-3q)^2-4(2p-3q)$ is $4(2p-3q)(8p-12q-1)$. 

Updated on: 10-Oct-2022

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