Question

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simplify (x + 3)(x + 6)
which expression is equivalent to the
given expression?
type a response

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(x \times x = x^2\)
Multiply the Outer terms: \(x \times 6 = 6x\)
Multiply the Inner terms: \(3 \times x = 3x\)
Multiply the Last terms: \(3 \times 6 = 18\)
So, \((x + 3)(x + 6)=x^2 + 6x + 3x + 18\)

Step2: Combine like terms

Combine the \(x\) terms: \(6x + 3x = 9x\)
So, \(x^2 + 6x + 3x + 18 = x^2 + 9x + 18\)

Answer:

\(x^2 + 9x + 18\)