Question

multiply.
(3a - 5)(a - 8)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3a \times a = 3a^2\)
Multiply the Outer terms: \(3a \times (-8) = -24a\)
Multiply the Inner terms: \(-5 \times a = -5a\)
Multiply the Last terms: \(-5 \times (-8) = 40\)

Step2: Combine like terms

Combine the middle terms \(-24a\) and \(-5a\): \(-24a - 5a = -29a\)
So the simplified expression is \(3a^2 - 29a + 40\)

Answer:

\(3a^2 - 29a + 40\)