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問題

解法ステップ

1. Understand the question

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

2. 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, \(x^2 + 6x + 3x + 18 = x^2 + 9x + 18\)

3. Final answer

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

答え

Question Analysis

OCR Text

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

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