Questions: Perform the indicated operation by removing the parentheses and combining like terms. (4x^2-9)+(x^2+1)

Transcript text: Perform the indicated operation by removing the parentheses and combining like terms. \[ \left(4 x^{2}-9\right)+\left(x^{2}+1\right) \]

Solution

Solution Steps

Step 1: Remove the parentheses

\[ \left(4x^{2} - 9\right) + \left(x^{2} + 1\right) = 4x^{2} - 9 + x^{2} + 1 \]

Step 2: Combine like terms

\[ 4x^{2} + x^{2} - 9 + 1 = 5x^{2} - 8 \]

Step 3: Simplify the expression

\[ 5x^{2} - 8 \]

Final Answer

\(\boxed{5x^{2} - 8}\)

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