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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

Identify a, b values

In the given binomial \(3x+2\), a=3x and b=2.
02

Apply Binomial Expansion

Substitute the values of a and b into the binomial expansion formula \((a+b)^2 = a^2 + 2ab + b^2\) to get \((3x + 2)^2 = (3x)^2 + 2*3x*2 + 2^2\).
03

Simplify the expression

Simplify the above equation to obtain the final result: \(9x^2 + 12x + 4 \)

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Most popular questions from this chapter

What is a rational expression?

Exercises \(142-144\) will help you prepare for the material covered in the next section. $$\text { Multiply: }\left(2 x^{3} y^{2}\right)\left(5 x^{4} y^{7}\right)$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The equation \((2 x-3)^{2}=25\) is equivalent to \(2 x-3=5\).

What is the discriminant and what information does it provide about a quadratic equation?

In Exercises \(133-136\), determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$8^{-\frac{1}{4}}=-2$$
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