Question

multiply the binomials: $(x - 4)(x + 10)$
$x^2 - 14x - 40$
$x^2 + 14x - 40$
$x^2 - 6x - 40$
$x^2 + 6x - 40$

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \( x \times x = x^2 \)
Multiply the Outer terms: \( x \times 10 = 10x \)
Multiply the Inner terms: \( -4 \times x = -4x \)
Multiply the Last terms: \( -4 \times 10 = -40 \)

Step2: Combine like terms

Combine the middle terms: \( 10x - 4x = 6x \)
Combine all terms: \( x^2 + 6x - 40 \)

Answer:

\( x^2 + 6x - 40 \) (corresponding to the last option: \( \boldsymbol{x^2 + 6x - 40} \))