Question

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

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2x \times 7x = 14x^2\)
Multiply the Outer terms: \(2x \times (-1) = -2x\)
Multiply the Inner terms: \(-5 \times 7x = -35x\)
Multiply the Last terms: \(-5 \times (-1) = 5\)

Step2: Combine like terms

Combine the \(x\)-terms: \(-2x - 35x = -37x\)

Step3: Write the simplified expression

Combine all terms: \(14x^2 - 37x + 5\)

Answer:

\(14x^2 - 37x + 5\)