Factorize the expression: $am^2+bm^2+bn^2+an^2$.

Given: The expression: $am^2+bm^2+bn^2+an^2$.

To do: To factorize the expression: $am^2+bm^2+bn^2+an^2$.

Solution:

As given 

$am^2+bm^2+bn^2+an^2$

$=am^2+bm^2+an^2+bn^2$ 

$=m^2( a+b)+n^2( a+n)$ 

$=( a+b)( m^2+n^2)$

Updated on: 10-Oct-2022

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