Question

multiply.
(a + 3)(5a - 6)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(a \times 5a = 5a^2\)
Multiply the Outer terms: \(a \times (-6) = -6a\)
Multiply the Inner terms: \(3 \times 5a = 15a\)
Multiply the Last terms: \(3 \times (-6) = -18\)

Step2: Combine like terms

Combine the middle terms (\(-6a\) and \(15a\)): \(-6a + 15a = 9a\)
So the expression becomes \(5a^2 + 9a - 18\)

Answer:

\(5a^2 + 9a - 18\)