Question

(2x + 8)(3x - 7)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2x \times 3x = 6x^2\)
Multiply the Outer terms: \(2x \times (-7) = -14x\)
Multiply the Inner terms: \(8 \times 3x = 24x\)
Multiply the Last terms: \(8 \times (-7) = -56\)

Step2: Combine like terms

Combine the \(x\) terms: \(-14x + 24x = 10x\)

Step3: Write the final expression

Putting it all together: \(6x^2 + 10x - 56\)

Answer:

\(6x^2 + 10x - 56\)