Expand (2[x+3])²: Solving a Double Bracket Square Expression

(2[x+3])2= (2\lbrack x+3\rbrack)^2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simply
00:03 Let's open parentheses properly, multiply by each factor
00:15 We'll use shortened multiplication formulas to open the parentheses
00:40 We'll solve the squares and multiplications
00:53 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

(2[x+3])2= (2\lbrack x+3\rbrack)^2=

2

Step-by-step solution

We will first solve the exercise by opening the inner brackets:

(2[x+3])²

(2x+6)²

We will then use the shortcut multiplication formula:

(X+Y)²=X²+2XY+Y²

(2x+6)² = 2x² + 2x*6*2 + 6² = 2x+24x+36

3

Final Answer

4x2+24x+36 4x^2+24x+36

Practice Quiz

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


\( (x+3)^2 \)

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