Problem 94
Question
Explain how to find the product of the sum and difference of two terms. Give an example with your explanation.
Step-by-Step Solution
Verified Answer
The formula used to find the product of the sum and difference of two terms is \(a^2 - b^2 = (a + b)(a - b)\). In our example, we chose 3 for a, and 2 for b, and validated that the equation holds when applying these chosen values.
1Step 1: Understanding the formula
The formula to find the product of the sum and difference of two terms, also known as the difference of squares, is \(a^2 - b^2 = (a + b)(a - b)\), where \(a\) and \(b\) are the two terms.
2Step 2: Chose example values
To provide a concrete example, let's take \(a = 3\) and \(b = 2\) as our two terms.
3Step 3: Applying the formula
Let's substitute the numbers into the formula: \((3 + 2)(3 - 2) = 3^2 - 2^2\). This results in `5*1 = 9 - 4`.
4Step 4: Solving the equation
By simplifying each side of the equality, we get `5 = 5`. As you can see, both sides are equal which indicates our formula is correctly applied.
Other exercises in this chapter
Problem 93
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