What is the product of (-a+3)(a+4)?

a^2-a+12
a^2-a-12
-a^2-a-12
-a^2-a+12

-a^2 + -a + 12

Step-by-step explanation:

Expand the following:

(3 - a) (a + 4)

(3 - a) (a + 4) = (3) (a) + (3) (4) + (-a) (a) + (-a) (4):

-a a + 3 a - 4 a + 3 4

3×4 = 12:

-a a + 3 a - 4 a + 12

-a a = -a^2:

-a^2 + 3 a - 4 a + 12

Grouping like terms, -a^2 + 3 a + 4 (-1) a + 12 = -a^2 + (3 a - 4 a) + 12:

-a^2 + (3 a - 4 a) + 12

3 a - 4 a = -a:

-a^2 + -a + 12

true? is that what you're asking or do you mean something else?