Question

What is the difference of (3x^2) - (-2x + 4)?

a) 5x^2 + 6x - 4

b) x^2 - 2x + 4

c) 5x^2 - 2x - 4

d) x^2 + 2x - 4

Answer 1

To find the difference of (3x^2) - (-2x + 4), change the sign of the terms being subtracted, which results in 3x^2 + 2x - 4. None of the answer choices provided match this correct result.

Step-by-step explanation:

The question asks to find the difference of the expression (3x^2) - (-2x + 4). To do this, we remove the parentheses and change the sign of each term inside the parentheses that we are subtracting. This gives us:

3x^2 - (-2x) - 4

Now we change -(-2x) to +2x and rewrite the expression:

3x^2 + 2x - 4

This cannot be simplified any further as there are no like terms. Hence, the difference of the given expression is 3x^2 + 2x - 4. None of the provided options (a, b, c, d) match this result, suggesting there may be a typo or error in the options given.