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Answer: Steps below.

Step-by-step explanation:

[tex]3(x+1)^2=108[/tex]

1. Divide both sides by 3.

[tex]\frac{3(x+1)^2}{3}=\frac{108}{3}[/tex]

[tex](x+1)^2=36[/tex]

2. Take the square root of both sides.

[tex]\sqrt[]{(x+1)^2}=\sqrt[]{36}[/tex]

[tex]x+1=6[/tex]

3. Subtract 1 from both sides.

[tex]x+1-1=6-1[/tex]

[tex]x=5[/tex]

The steps involved in solving the equation 3(x+1)² = 108, Divide both sides by 3. Take the square root of both sides and Subtract 1 from both sides.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved in the following steps:-

1. Divide both sides by 3.

3(x+1)² = 108

(x+1)² = 36

2. Take the square root of both sides.

√(x+1)² = √36

(x+1) = 6

3. Subtract 1 from both sides.

(x+1) = 6

(x+1 -1) = 6-1

x = 5

Therefore, the steps involved in solving the equation 3(x+1)² = 108, Divide both sides by 3. Take the square root of both sides and Subtract 1 from both sides.

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