Question

$(2x+6)(x-4)$

Explanation:

Step1: Apply FOIL method

First terms: $2x \times x = 2x^2$
Outer terms: $2x \times (-4) = -8x$
Inner terms: $6 \times x = 6x$
Last terms: $6 \times (-4) = -24$
Combine all terms: $2x^2 - 8x + 6x - 24$

Step2: Combine like terms

Combine the linear terms: $-8x + 6x = -2x$
Simplify the expression: $2x^2 - 2x - 24$

Answer:

$2x^2 - 2x - 24$