Question

find the product of \\((4x - 3)(5x - 2)\\)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(4x \times 5x = 20x^2\)
Multiply the Outer terms: \(4x \times (-2) = -8x\)
Multiply the Inner terms: \(-3 \times 5x = -15x\)
Multiply the Last terms: \(-3 \times (-2) = 6\)

Step2: Combine like terms

\(20x^2 - 8x - 15x + 6 = 20x^2 - 23x + 6\)

Answer:

\(20x^2 - 23x + 6\)