Olson Sullivan
01/06/2024 · Junior High School
c) \( a^{2}+16 a+64 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
The expression \( a^{2} + 16a + 64 \) is a quadratic expression. We can factor it to see if it can be expressed in a simpler form.
To factor the expression, we look for two numbers that multiply to \( 64 \) (the constant term) and add up to \( 16 \) (the coefficient of the linear term). The numbers \( 8 \) and \( 8 \) satisfy these conditions.
Thus, we can rewrite the expression as:
\[
a^{2} + 16a + 64 = (a + 8)(a + 8) = (a + 8)^{2}
\]
So, the factored form of the expression is:
\[
(a + 8)^{2}
\]
Quick Answer
\( a^{2} + 16a + 64 = (a + 8)^{2} \)
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