Questions: Perform the indicated operation by removing the parentheses and combining like terms. (-3x+8)+(9x^2-4x)

Perform the indicated operation by removing the parentheses and combining like terms. (-3x+8)+(9x^2-4x)
Transcript text: Perform the indicated operation by removing the parentheses and combining like terms. \[ (-3 x+8)+\left(9 x^{2}-4 x\right) \]
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Solution

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Solution Steps

Step 1: Remove Parentheses

Apply the distributive property to remove the parentheses. If there's a minus sign before a parenthesis, change the sign of each term inside that parenthesis.

Step 2: Combine Like Terms

Identify terms with the same power of \(x\) across the entire expression and combine them.

Step 3: Summation/Subtraction of Coefficients

For each set of like terms, add or subtract their coefficients. This results in a new coefficient for the term with that specific power of \(x\).

Step 4: Reassemble the Expression

Write down the new expression with the combined terms: 9x^2 - 7x + 8

Final Answer:

9x^2 - 7x + 8

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