Question

If B = 3x - x² and C= x-8-8x2, find an expression that equals 2B-2C in standard form.

Answer Attempt 1 out of 2
Submit Answer

Answer 1

To find the expression 2B-2C in standard form, substitute the given expressions for B and C into the expression and simplify the result. The standard form expression is 14x² + 4x + 16.

Step-by-step explanation:

To find an expression that equals 2B-2C in standard form, we need to substitute the given expressions for B and C into the expression 2B-2C.

Substituting B = 3x - x² and C = x-8-8x², we have:

2B-2C = 2(3x-x²) - 2(x-8-8x²)

Simplifying the expression:

2B-2C = 6x - 2x² - 2x + 16 + 16x²

Combining like terms:

2B-2C = 16x² - 2x² + 6x - 2x + 16

2B-2C = 14x² + 4x + 16

Therefore, the expression that equals 2B-2C in standard form is 14x² + 4x + 16.

Learn more about expression simplification