Question

multiply.
$(x + 3)(x + 5)$

$(x + 3)(x + 5)=\square$ (simplify your answer.)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(x \times x = x^2\)
Multiply the Outer terms: \(x \times 5 = 5x\)
Multiply the Inner terms: \(3 \times x = 3x\)
Multiply the Last terms: \(3 \times 5 = 15\)

Step2: Combine like terms

Add the outer and inner terms: \(5x + 3x = 8x\)
Combine all terms: \(x^2 + 8x + 15\)

Answer:

\(x^2 + 8x + 15\)