Question

Factorise the following expression: ( + )(2 + 3) − ( + )( + 1).

Answer 1

Given,

The expression is ( + )(2 + 3) − ( + )( + 1).​

Simplifying the expression,

`\begin{gathered} \mleft(+\mright)\mleft(2+3\mright)-(+)\mleft(+1\mright).​ \\ (a+b)((2a+3b)-(a+1)) \\ (a+b)(2a+3b-a-1) \\ (a+b)(a+3b-1) \end{gathered}`

Hence, the expression is (a+b)(a+3b-1).