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Chapter 0: Problem 44

Find each product. $$(3 x+2)^{2}$$

Short Answer

Expert verified
The product of \( (3x + 2)^2 \) is \( 9x^2 + 12x + 4 \).

Step by step solution

01

Expand the Square

Expand the expression \( (3x + 2)^2 \) into \( (3x + 2) * (3x + 2) \)
02

Distribute the terms

Distribute the terms: Multiply each term in the first parentheses by each term in the other parentheses. This leads to: \( (3x * 3x) + (3x * 2) + (2 * 3x) + (2 * 2) \)
03

Simplify the terms

Simplify each of the terms: \( 9x^2 + 6x + 6x + 4 \)
04

Combine like terms

Now, combine like terms: \( 9x^2 + 12x + 4 \)

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