Question

Evaluate the expression (5x³ - 4/3x).

A. The difference of 5 times the cube of x and the quotient of 4 times x and 3.

B. 5x³ divided by 4x.

C. The quotient of the difference of 5 times x³ and 4 and x.

D. The cube of the difference of 5 times x and 4.

Answer 1

The expression (5x³ - 4/3x) represents the difference of 5 times the cube of x and the quotient of 4 times x and 3. To evaluate this expression, we can simplify it by expanding and combining like terms.

Step-by-step explanation:

The expression (5x³ - 4/3x) represents the difference of 5 times the cube of x and the quotient of 4 times x and 3. To evaluate this expression, we can simplify it by expanding and combining like terms.

5x³ - 4/3x = 5x³ - (4/3)x = 5x³ - (4/3)(1x) = 5x³ - (4/3)(x) = 5x³ - (4/3)x = 15x³/3 - 4x/3 = (15x³ - 4x)/3.

Therefore, the correct answer is A. The difference of 5 times the cube of x and the quotient of 4 times x and 3.