question_answer

Factorise: \[12x+36\]

Answer:

\[12x+36\]

\[12x=2\times 2\times 3\times x\]

\[36=2\times 2\times 3\times 3\]

The common factors of the three terms are 2, 2 and 3.

Therefore,

\[12x+36=(2\times 2\times 3\times x)+(2\times 2\times 3\times 3)\]

\[=2\times 2\times 3\text{ }\left( x+5 \right)\]

\[=12(x+3)\]