Factorise: ar + br + at + bt

Question:

Factorise:
ar + br + at + bt

Solution:

By grouping the terms:

$a r+b r+a t+b t=(a r+b r)+(a t+b t)$

$=r(a+b)+t(a+b)$

$=(a+b)(r+t)$

$\therefore a r+b r+a t+b t=(a+b)(r+t)$

 

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