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Which expression is equivalent to (2x^2 + 6x - 3) + (x^2 - 2x - 7)?

A) 3x^2 + 4x - 10
B) 3x^2 + 4x - 2
C) 3x^2 + 4x - 14
D) 3x^2 + 6x - 10

User Pepedou
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1 Answer

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Final answer:

The expression equivalent to (2x^2 + 6x - 3) + (x^2 - 2x - 7) is found by adding the like terms, resulting in 3x^2 + 4x - 10, which corresponds to option A).

Step-by-step explanation:

To find the expression equivalent to (2x^2 + 6x - 3) + (x^2 - 2x - 7), we need to combine like terms. We do this by adding the coefficients of the terms with the same degree.

  • The x^2 terms: 2x^2 + x^2 = 3x^2.
  • The x terms: 6x - 2x = 4x.
  • The constant terms: -3 - 7 = -10.

The resulting expression is 3x^2 + 4x - 10, which matches option A).

User Bart Roozendaal
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