Questions: (7 x^2 - 5 x - 1) + (-2 x + 6)

Transcript text: $\left(7 x^{2}-5 x-1\right)+(-2 x+6)$

Solution

Solution Steps

To simplify the given expression, we need to combine like terms. The expression consists of two polynomials. We will add the coefficients of the terms with the same degree.

Step 1: Combine Like Terms

We start with the expression: \[ (7x^{2} - 5x - 1) + (-2x + 6) \] We will combine the like terms by grouping them based on their degrees.

Step 2: Grouping Terms

The expression can be rearranged as follows: \[ 7x^{2} + (-5x - 2x) + (-1 + 6) \] This simplifies to: \[ 7x^{2} - 7x + 5 \]

Step 3: Final Simplified Expression

The final simplified expression is: \[ 7x^{2} - 7x + 5 \]

Final Answer

$\boxed{7x^{2} - 7x + 5}$

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