Find the area of a rectangle whose side lengths are 4x² and 6x² - 3x.

A. 24x⁶ - 12x²

B. 24x⁴ - 3x

C. 24x⁴ - 12x³

D. 20x³ - 6x²

Answer: C. 24x⁴ - 12x³

Step-by-step explanation:

The area of a rectangle is length * width.

4x² * (6x² - 3x) to answer this, we multiply 4x² for each term inside the parentheses.

4x² * 6x² = 24x⁴ (4 * 6 = 24 and x² * x² = x⁴)

4x² * - 3x = - 12x³ (4 * - 3 = - 12 and x² * x = x³)

So the answer is 24x⁴ - 12x³

c

Step-by-step explanation:

4x^2 (6x^2-3x)

=24x^4-12x^3