Question

Expand and simplify : 6(p+6)-3(p+3)

Answer 1

We have the expression
$6(p + 6) - 3(p + 3)$
We expand each bracket first, to obtain,

$6(p + 6) - 3(p + 3)=6p + 36 - 3p - 9$
Be mindful of the negative sign.

We now group like terms,

$6(p + 6) - 3(p + 3)=6p - 3p + 36 - 9$
and then simplify to obtain,

$6(p + 6) - 3(p + 3)=3p + 27$