Question

multiply.
(3x + 5)(2x - 7)
simplify your answer.

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(3x \times 2x = 6x^2\)
Multiply the Outer terms: \(3x \times (-7) = -21x\)
Multiply the Inner terms: \(5 \times 2x = 10x\)
Multiply the Last terms: \(5 \times (-7) = -35\)

Step2: Combine like terms

Combine the \(x\)-terms: \(-21x + 10x = -11x\)

Step3: Write the simplified expression

Combine all terms: \(6x^2 - 11x - 35\)

Answer:

\(6x^2 - 11x - 35\)