Question
\( 1 \leftarrow \)\begin{tabular}{|c}\( \begin{array}{c}\text { Multiply. } \\ (a-10)(a+10)\end{array} \) \\ \( (a-10)(a+10)=\square \) (Simplify your answer.) \end{tabular}
Ask by Long Spencer. in the United Arab Emirates
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( (a-10)(a+10) = a^2 - 100 \)
Solution
Calculate or simplify the expression \( (a-10)(a+10) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(a-10\right)\left(a+10\right)\)
- step1: Simplify the product:
\(a^{2}-10^{2}\)
- step2: Evaluate the power:
\(a^{2}-100\)
The result of multiplying \((a-10)(a+10)\) is \(a^2 - 100\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
When you have the expression \( (a-10)(a+10) \), you're looking at a classic example of the difference of squares. The formula for this is \( (x-y)(x+y) = x^2 - y^2 \). In your case, you can identify \( x = a \) and \( y = 10 \). So, by applying the difference of squares formula, you get: \[ (a-10)(a+10) = a^2 - 10^2 = a^2 - 100. \] Thus, the simplified result is \( a^2 - 100 \).
