Express in simplest form: x2−497x−x2

Question

.(1 point)
Responses

x+7x
Start Fraction x plus 7 over x End Fraction

−7
negative 7

−(x+7)x
Start Fraction negative left parenthesis x plus 7 right parenthesis over x End Fraction

−7x

Answer 1

To simplify the expression \( x^2 - 497x - x^2 \), we first observe that the \( x^2 \) terms cancel each other out:

\[ x^2 - x^2 - 497x = -497x \]

Thus, the expression simplifies directly to:

\[ -497x \]

Now let's review the provided responses:

1. \( x + 7x \) -- This simplifies to \( 8x \), which is incorrect.
2. \( \frac{x + 7}{x} \) -- This form does not match the simplified expression.
3. \( -7 \) -- This is incorrect as it does not relate to our expression.
4. \( -\frac{(x + 7)}{x} \) -- This also does not match the simplified expression.
5. \( -7x \) -- This is incorrect; the coefficient is \(-497\).

None of the provided responses match the correct simplified expression of \(-497x\).