Question

multiplying binomials: multiply every term in the first binomial.

• foil:

multiply.

\\((x + 1)(x + 3)\\)

Explanation:

Apply the FOIL method to expand the binomials

$$ (x + 1)(x + 3) = x \cdot x + x \cdot 3 + 1 \cdot x + 1 \cdot 3 $$

Simplify the individual products

$$ (x + 1)(x + 3) = x^2 + 3x + x + 3 $$

Combine like terms

$$ (x + 1)(x + 3) = x^2 + 4x + 3 $$

Answer:

\(x^2 + 4x + 3\)