Question

Choose the correct simplification of (4x3 + 3x2 − 6x) − (10x3 + 3x2).

Answer 1

Answer:
-6x (x + 1)(x - 1)

Step-by-step explanation:
Before we begin, remember the following:
(-ve) * (-ve) = +ve
(-ve) * (+ve) = -ve
(+ve) * (+ve) = +ve
(+ve) * (-ve) = -ve
a² - b² = (a + b)(a - b)

Now, for the given:
(4x³ + 3x² - 6x) - (10x³ + 3x²)
First, we eill remove the brackets based on the rules mentioned above. This will give us:
4x³ + 3x² - 6x - 10x³ - 3x²
Now, we will combine like terms as follows:
(4-10)x³ + (3-3)x² - 6x
-6x³ - 6x
Taking -6x as a common factor:
-6x (x² - 1)
Factoring the bracket as difference between two squares will give us the final simplest form:
-6x (x + 1)(x - 1)

Hope this helps :)

Answer 2

`4x^(3) +3 x^(2) -6x - (10 x^(3)+3 x^(2) )`

First, distribute the negative into the parenthesis


`4x^(3) +3 x^(2) -6x - 10 x^(3)-3 x^(2)`

Next, combine like terms


`-6x^(3) - 6x` is your final answer