Johnson Boyd
06/30/2024 · High School
3.) Evaluate for \( r=5 \) and \( s=-3 \) \( 23+2(r+s)^{3} \)
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Tutor-Verified Answer
Step-by-step Solution
Substitute \( r=5,s=-3 \) into the expression \( 23+2(r+s)^{3} \).
Evaluate the expression by following steps:
- step0: Evaluate:
\(23+2\left(r+s\right)^{3}\)
- step1: Substitute:
\(23+2\left(5-3\right)^{3}\)
- step2: Subtract the numbers:
\(23+2\times 2^{3}\)
- step3: Calculate:
\(23+2^{4}\)
- step4: Evaluate the power:
\(23+16\)
- step5: Add the numbers:
\(39\)
Substitute \( r=5 \) and \( s=-3 \) into the expression \( 23+2(r+s)^{3} \), we get \( 39 \).
Quick Answer
\( 23+2(r+s)^{3} = 39 \) when \( r=5 \) and \( s=-3 \).
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