Questions: (3r^3 - 12r^2 - 63r - 45) + (3r + 6)

(3r^3 - 12r^2 - 63r - 45) + (3r + 6)
Transcript text: $\left(3 r^{3}-12 r^{2}-63 r-45\right)+(3 r+6)$
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Solution

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Solution Steps

Step 1: Define the Expression

We start with the expression \( (3r^{3} - 12r^{2} - 63r - 45) + (3r + 6) \).

Step 2: Combine Like Terms

Next, we combine the like terms in the expression. The terms involving \( r^{3} \) and \( r^{2} \) remain unchanged, while we combine the linear terms \( -63r + 3r \) and the constant terms \( -45 + 6 \).

Step 3: Simplify the Expression

After combining the like terms, we simplify the expression to obtain \( 3r^{3} - 12r^{2} - 60r - 39 \).

Final Answer

\(\boxed{3r^{3} - 12r^{2} - 60r - 39}\)

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