Choose the correct simplification of the expression -6x²(4x - 7x² - 2)
42x⁴ + 24x³ - 12x²
-42x⁴ + 24x³ - 12x²
-13x⁴ - 2x³ - 8x²
42x⁴ - 24x³ + 12x²

Solution:

Given expression -6x²(4x - 7x² - 2)

A polynomial is defined as an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

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 distributive property, we get -24x³ + 42x⁴ + 12x²

Therefore, the required simplified expression for -6x²(4x -7x² - 2) is 42x⁴ - 24x³ + 12x²

Choose the correct simplification of the expression -6x²(4x - 7x² - 2)

Summary:

The correct simplification of the expression -6x²(4x - 7x² - 2) is 42x⁴ - 24x³ + 12x²