Question

simplify the expression
$(4x - 5)(x + 2)$

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(4x \times x = 4x^2\)
Multiply the Outer terms: \(4x \times 2 = 8x\)
Multiply the Inner terms: \(-5 \times x = -5x\)
Multiply the Last terms: \(-5 \times 2 = -10\)
So we have \(4x^2 + 8x - 5x - 10\)

Step2: Combine like terms

Combine the \(x\)-terms: \(8x - 5x = 3x\)
So the simplified expression is \(4x^2 + 3x - 10\)

Answer:

\(4x^2 + 3x - 10\)