Question

multiply.
(5c - 3d)(8c - 3d)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(5c \times 8c = 40c^2\)
Multiply the Outer terms: \(5c \times (-3d) = -15cd\)
Multiply the Inner terms: \(-3d \times 8c = -24cd\)
Multiply the Last terms: \(-3d \times (-3d) = 9d^2\)
So we have \(40c^2 - 15cd - 24cd + 9d^2\)

Step2: Combine like terms

Combine the middle terms \(-15cd\) and \(-24cd\): \(-15cd - 24cd = -39cd\)
So the simplified expression is \(40c^2 - 39cd + 9d^2\)

Answer:

\(40c^2 - 39cd + 9d^2\)