Question

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

Answer 1

If you would like to solve -5x^2 * (4x - 6x^2 - 3), you can do this using the following steps:

-5x^2 * (4x - 6x^2 - 3) = (-5x^2) * 4x - (-5x^2) * 6x^2 - (-5x^2) * 3 = -20x^3 + 30x^4 + 15x^2 = 30x^4 - 20x^3 + 15x^2

The correct result would be 30x^4 - 20x^3 + 15x^2.

Answer 2

Answer:

Option A is correct

$30x^4-20x^3+15x^2$

Step-by-step explanation:

The distributive property says that:

$a \cdot (x +y +z) = a\cdot x+ a\cdot y+ a\cdot z$

Given the expression: $5x^2(4x-6x^2-3)$

Using distributive property :

$-5x^2 \cdot (4x) - 5x^2 \cdot (-6x^2) -5x^2 \cdot (-3)$

Use: $x^a \cdot x^b = x^{a+b}$

then;

$-20x^3+30x^4+15x^2$

or

$30x^4-20x^3+15x^2$

Therefore, the correct simplification of the given  expression is $30x^4-20x^3+15x^2$