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Use the Distributive Property to rewrite the expression and then simplify. 2(x2−x)+6x−3−7x

−x−3
2x2−x−3
2x2−3x−3
−4x

1 answer

To rewrite the expression \( 2(x^2 - x) + 6x - 3 - 7x - x - 3 \) using the Distributive Property and then simplify, follow these steps:

  1. Apply the Distributive Property: \[ 2(x^2 - x) = 2x^2 - 2x \]

  2. Substituting back into the expression gives: \[ 2x^2 - 2x + 6x - 3 - 7x - x - 3 \]

  3. Combine like terms: \[ 2x^2 + (-2x + 6x - 7x - x) - 3 - 3 \]

    • For the \(x\) terms: \(-2x + 6x - 7x - x = -2x - 2x = -4x\)
    • For the constant terms: \(-3 - 3 = -6\)

  4. Writing out the full expression: \[ 2x^2 - 4x - 6 \]

Thus, the simplified expression is: \[ 2x^2 - 4x - 6 \]

Given the options you provided, none of them match exactly with our simplified expression \(2x^2 - 4x - 6\). Could you double-check the available answers?