Question

multiply
(4x + 5)(3x - 7)
simplify your answer

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(4x \times 3x = 12x^2\)
Multiply the Outer terms: \(4x \times (-7) = -28x\)
Multiply the Inner terms: \(5 \times 3x = 15x\)
Multiply the Last terms: \(5 \times (-7) = -35\)

Step2: Combine like terms

Combine the \(x\)-terms: \(-28x + 15x = -13x\)

Step3: Write the simplified polynomial

Combine all terms: \(12x^2 - 13x - 35\)

Answer:

\(12x^2 - 13x - 35\)