(a+3)(a-2)
Multiply the two brackets together
a^2-2a+3a+3*-2
a^2+a-6
Answer is a^2+a-6
ANSWER
[tex]{a}^{2} + a - 6[/tex]
EXPLANATION
The given expression is
[tex](a + 3)(a - 2)[/tex]
We expand using the distributive property to obtain:
[tex]a(a - 2) + 3(a - 2)[/tex]
We multiply out the parenthesis to get:
[tex] {a}^{2} - 2a + 3a - 6[/tex]
Let us now simplify by combining the middle terms to obtain;
[tex]{a}^{2} + a - 6[/tex]
