Which binomial multiplication expression expands to:
t^2 + 7t + 12
a. (t + 4) (t + 3)
b. (t + 4) (t + 6)
c. (t - 4) (t - 3)
d. (t - 2) (t - 6)
The correct answer is a. (t + 4) (t + 3).
To check, we can multiply the expressions:
(t + 4) (t + 3)
Using the distributive property, we get:
t(t) + t(3) + 4(t) + 4(3)
t^2 + 3t + 4t + 12
Combining like terms, we get:
t^2 + 7t + 12
The expanded expression matches the given expression, so (t + 4) (t + 3) is the correct binomial multiplication expression.