Question
Multiply, \[ (9-a)(9+a) \] Simplify your answer: \( \square \) \( \square \)
Ask by Hill Wood. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 81 - a^2 \)
Solution
To multiply and simplify \((9 - a)(9 + a)\), you can use the difference of squares formula:
\[
(9 - a)(9 + a) = 9^2 - a^2 = 81 - a^2
\]
So, the simplified form is:
\[
81 - a^2
\]
\[
81 \quad -a^2
\]
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Simplify this solution Mind Expander
To multiply \( (9-a)(9+a) \), you can apply the difference of squares formula, which states that \( (x-y)(x+y) = x^2 - y^2 \). Here, \( x = 9 \) and \( y = a \). So, using this formula: \[ (9-a)(9+a) = 9^2 - a^2 \] Calculating \( 9^2 \): \[ 9^2 = 81 \] Thus, we have: \[ (9-a)(9+a) = 81 - a^2 \] The simplified answer is: \[ 81 - a^2 \]
