Question

distribute in this expression and select the simplified answer.

$(x + 4)(x + 6)$

after you pick your answer press go.
a. $x^2 + 4x + 10$ b. $2x + 10$
c. $x^2 + 24x + 24$ d. $x^2 + 24$
e. $x^2 + 10x + 24$

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \( x \times x = x^2 \)
Multiply the Outer terms: \( x \times 6 = 6x \)
Multiply the Inner terms: \( 4 \times x = 4x \)
Multiply the Last terms: \( 4 \times 6 = 24 \)

Step2: Combine like terms

Add the outer and inner terms: \( 6x + 4x = 10x \)
Combine all terms: \( x^2 + 10x + 24 \)

Answer:

E. \( x^2 + 10x + 24 \)