Choose the correct simplification of the expression -5x²(4x - 6x² - 3).
30x⁴ - 20x³ + 15x²
-11x⁴ - x³ - 8x²
-30x⁴ + 20x³ - 15x²
30x⁴ + 20x³ + 15x²

Solution:

Given -5x²(4x - 6x² - 3)

Using distributive law, we multiply the term outside the brackets with each term inside the brackets.

(-5x²×4x) + (-5x²×- 6x²)+ (-5x²×- 3)

We get, -20x³ +30x⁴ +15x²

Arrange the terms in polynomial form

30x⁴ - 20x³ + 15x²

Choose the correct simplification of the expression -5x²(4x - 6x² - 3).

Summary:

The correct simplification of the expression -5x²(4x - 6x² - 3) is 30x⁴ - 20x³ + 15x²