Question

(2x - 5)(4x + 7)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2x \times 4x = 8x^2\)
Multiply the Outer terms: \(2x \times 7 = 14x\)
Multiply the Inner terms: \(-5 \times 4x = -20x\)
Multiply the Last terms: \(-5 \times 7 = -35\)

Step2: Combine like terms

Combine the \(x\)-terms: \(14x - 20x = -6x\)

Step3: Write the final expression

Combine all terms: \(8x^2 - 6x - 35\)

Answer:

\(8x^2 - 6x - 35\)