Final answer:
To find an expression that equals 2B - 2C in standard form, substitute the given expressions for B and C into the expression and simplify the resulting expression.
Step-by-step explanation:
To find an expression that equals 2B - 2C in standard form, we substitute the given expressions for B and C in the expression 2B - 2C:
2B - 2C = 2(3x - x^2) - 2(x - 8 - 8x^2)
Simplifying this expression:
2B - 2C = 6x - 2x^2 - 2x + 16 + 16x^2
Combining like terms:
2B - 2C = 16x^2 - 2x^2 + 6x - 2x + 16
2B - 2C = 14x^2 + 4x + 16
Therefore, the expression that equals 2B - 2C in standard form is 14x^2 + 4x + 16.
Learn more about Expression simplification