Question

Please Factorise this
A(3x-2y)+B(2y-3x)

pls explain

Answer 1

$\textbf{ \huge{ Hello Mate! }}$

$\texttt{ \blue{ What is factorisation? }}$

When the terms are in product and gives same result on opening equal to "0" is called factorisation.

A( 3x - 2y ) + B( 2y - 3x )

What to do now? Take - out from ( 2y - 3x )

A( 3x - 2y ) - B( 3x - 2y )

Now taking 3x - 2y common we get

( 3x - 2y )( A - B )

[Note : If you open it you get same result, A( 3x - 2y ) - B( 3x - 2y ) ]

$\textsf{ \red{ Hence answer is ( 3x - 2y )( A - B ) }}$

$\textbf{ Have great future ahead! }$