Answer:
2A - 2B = 4x^2 - 4x + 10
Explanation:
To find the expression for 2A - 2B, we need to first compute 2A and 2B and then subtract them. Let's start by finding each part separately:
2A:
2A = 2(-1 + 3x^2) = -2 + 6x^2
2B:
2B = 2(x^2 + 2x - 6) = 2x^2 + 4x - 12
Now, subtract 2B from 2A:
2A - 2B = (-2 + 6x^2) - (2x^2 + 4x - 12)
Now, let's combine like terms:
2A - 2B = -2 + 6x^2 - 2x^2 - 4x + 12
Simplify further:
2A - 2B = (6x^2 - 2x^2) + (-2 - 4x + 12)
Combine the x^2 terms and constants:
2A - 2B = 4x^2 - 4x + 10
The expression in standard form that equals 2A - 2B is:
2A - 2B = 4x^2 - 4x + 10