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

Solution:

Given expression -4x²(6x - 5x² - 5)

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Using the distributive property, we get

=(-4x² × 6x) + (-4x² × -5x² ) + (-4x² × - 5)

⇒ -24x³ + 20x⁴ - 20x²

⇒ 20x⁴ - 24x³ - 20x² (rewriting the terms in the descending order of powers)

The correct simplification of the expression -4x²(6x - 5x² - 5) is 20x⁴ - 24x³ - 20x².

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

Summary:

The correct simplification of the expression -4x²(6x - 5x² - 5) is 20x⁴ - 24x³ - 20x².