Questions: Simplify. -6x^2 - 18x^2 + 4x^2

Transcript text: Simplify. \[ -6 x^{2}-18 x^{2}+4 x^{2} \]

Solution

Solution Steps

To simplify the given expression, we need to combine like terms. The terms \(-6x^2\), \(-18x^2\), and \(4x^2\) all have the same variable part \(x^2\). We can add or subtract their coefficients to get the simplified form.

Step 1: Identify Like Terms

The expression given is \[ -6x^{2} - 18x^{2} + 4x^{2}. \] We identify that all terms are like terms since they all contain the variable \(x^{2}\).

Step 2: Combine Coefficients

Next, we combine the coefficients of the like terms: \[ -6 + (-18) + 4 = -20. \]

Step 3: Write the Simplified Expression

Thus, the simplified expression is \[ -20x^{2}. \]

Final Answer

\[ \boxed{-20x^{2}} \]

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