Question

Which expression is equivalent to (3x^2-6) - (5x^2-7x+5) - (9x+3)?

A. -2x^2 - 2x - 4
B. -2x^2 - 2x - 14
C. -2x^2 - 16x + 2
D. -2x^2 - 16x - 14

Answer 1

The equivalent expression to (3x^2-6) - (5x^2-7x+5) - (9x+3) is -2x^2 - 2x - 14 after distributing the negative sign, combining like terms, and simplifying the expression.

Step-by-step explanation:

To find the expression equivalent to (3x^2-6) - (5x^2-7x+5) - (9x+3), we must combine like terms. Here is the step-by-step explanation:

1. Distribute the negative sign to the terms within the parentheses for the last two expressions: 3x^2 - 6 - 5x^2 + 7x - 5 - 9x - 3.
2. Combine like terms: (3x^2 - 5x^2) + (7x - 9x) + (-6 - 5 - 3).
3. Simplify the expression: -2x^2 - 2x - 14.

Thus, the equivalent expression is -2x^2 - 2x - 14, which corresponds to option B.