Question

multiply.
(5 - 2c)(3 + 8c)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(5\times3 = 15\)
Multiply the Outer terms: \(5\times8c = 40c\)
Multiply the Inner terms: \(-2c\times3 = -6c\)
Multiply the Last terms: \(-2c\times8c = -16c^2\)

Step2: Combine like terms

Combine the \(c\)-terms: \(40c - 6c = 34c\)

Step3: Write the simplified expression

Combine all terms: \(15 + 34c - 16c^2\) (or \(-16c^2 + 34c + 15\))

Answer:

\(-16c^2 + 34c + 15\)