Questions: Simplify the given polynomial by combining like terms. 16 x^2-3 x^2-y 16 x^2-3 x^2-y=

Simplify the given polynomial by combining like terms.
16 x^2-3 x^2-y 
16 x^2-3 x^2-y=
Transcript text: Simplify the given polynomial by combining like terms. \[ \begin{array}{l} 16 x^{2}-3 x^{2}-y \\ 16 x^{2}-3 x^{2}-y= \end{array} \]
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Solution

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Solution Steps

To simplify the given polynomial, we need to combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, we will combine the \(x^2\) terms.

Step 1: Identify Like Terms

In the polynomial \(16x^2 - 3x^2 - y\), we identify the like terms, which are the \(x^2\) terms: \(16x^2\) and \(-3x^2\).

Step 2: Combine Like Terms

We combine the like terms: \[ 16x^2 - 3x^2 = (16 - 3)x^2 = 13x^2 \]

Step 3: Write the Simplified Polynomial

After combining the like terms, we rewrite the polynomial: \[ 13x^2 - y \]

Final Answer

The simplified polynomial is \(\boxed{13x^2 - y}\).

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