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Chapter 0: Problem 101

Explain how to square a binomial difference. Give an example with your explanation.

Short Answer

Expert verified
The square of the binomial difference \(3x - 2y\) is \(9x^2 - 12xy + 4y^2\).

Step by step solution

01

Identify a Binomial Difference

A binomial difference is an algebraic expression containing two terms which are subtracted. It takes the form: \(a-b\). We will use \(3x - 2y\) as our example for this exercise.
02

Apply the Square Formula

The square of a binomial difference can be found using the formula: \((a - b)^2= a^2 - 2ab + b^2 \). Apply this formula to the chosen binomial difference. Replace \(a\) with \(3x\) and \(b\) with \(2y\) in the formula.
03

Calculate the Square

Squaring each term and applying the formula gives: \((3x - 2y)^2 = (3x)^2 - 2(3x)(2y) + (2y)^2 = 9x^2 - 12xy + 4y^2\).

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Most popular questions from this chapter

$$\text { Factor completely.}$$ $$(y+1)^{3}+1$$

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