Question

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

Answer 1

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).