To show that 4b = 4c - a, let's follow the steps:
a. Given: 2^2 * 2 / 2 = 2(2 * ac / c) + a
b. Expanding the expression on the right side:
4c^2 / 2 = 4bc / 2 + ac
Simplifying:
2c^2 = 2bc + ac
Blank 1: Distributive Property
Blank 2: Simplifying
c. Bringing like terms together:
2c^2 - 2bc = ac
Blank 1: Subtraction Property
Blank 2: Distributive Property
d. Simplifying the equation:
2c(c - b) = ac
Blank: Subtraction Property
e. Dividing both sides by 2(c - b):
4b = 4c - a
Blank: Division Property
Therefore, we have shown that 4b = 4c - a.