simplify (x + 3)(x + 6) which expression is equivalent to the given exp…

题目

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

解题步骤

Understand the question
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, $x^2 + 6x + 3x + 18 = x^2 + 9x + 18$
Final answer
$x^2 + 9x + 18$

答案

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

$x^2 + 9x + 18$

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Question Analysis

Subject mathematics

Sub Subject algebra

Education Level high school

Difficulty unspecified

Question Type calculation

Multi Question No

Question Count 1

Analysis Status completed

Analyzed At 2026-02-05T22:42:27

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

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