Question

If B=1-qB=1-q and C=3q-q^(2)-1,C=3q-q² -1, find an expression that equals B-CB-C in standard form.

Answer 1

To find B - C, subtract C from B using the given expressions for each. Simplify the result to get B - C in standard form, which is a quadratic equation q² - 4q + 2.

Step-by-step explanation:

The student is asking to find the expression for B - C given that B = 1 - q and C = 3q - q² - 1. We can combine the two expressions to create one equation by subtracting C from B.

Let's calculate B - C:

• B = 1 - q
• C = 3q - q² - 1
• B - C = (1 - q) - (3q - q² - 1)
• B - C = 1 - q - 3q + q² + 1
• B - C = q² - 4q + 2

This is the standard form of the expression representing B - C.