Question

multiply.
(2c + 1)(5c - 7)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2c \times 5c = 10c^2\)
Multiply the Outer terms: \(2c \times (-7) = -14c\)
Multiply the Inner terms: \(1 \times 5c = 5c\)
Multiply the Last terms: \(1 \times (-7) = -7\)

Step2: Combine like terms

Combine the middle terms: \(-14c + 5c = -9c\)
So the expression becomes \(10c^2 - 9c - 7\)

Answer:

\(10c^2 - 9c - 7\)