Find Equivalent Expressions for (x+3)²: Perfect Square Expansion

Choose the expression that has the same value as the following:


(x+3)2 (x+3)^2

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simplify the expression
00:03 Every factor squared is actually its multiplication by itself
00:08 Open parentheses properly, multiply each factor by each factor
00:30 Collect terms, and calculate the square
00:39 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the expression that has the same value as the following:


(x+3)2 (x+3)^2

2

Step-by-step solution

We use the abbreviated multiplication formula:

x2+2×x×3+32= x^2+2\times x\times3+3^2=

x2+6x+9 x^2+6x+9

3

Final Answer

x2+6x+9 x^2+6x+9

Practice Quiz

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Choose the expression that has the same value as the following:


\( (x+3)^2 \)

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