Question

Simplify.
-5x^4(-3x^2+-4x-2)

Answer 1

15x^6 − 20x^5 + 10x^4

Step-by-step explanation:

You distribute the -5x^4 across −3x^2+4x−2 then you add the exponents, remember that there is an "x" with no exponent counts as 1 so when you add the four from "-5x^4" just add one.

Answer 2

The simplified expression is
`15 x^(6)+20 x^(5)+10 x^(4)`

Step-by-step explanation:

Given that the expression is
`-5 x^(4)\left(-3 x^(2)-4 x-2\right)`

We need to determine the simplify the expression.

Let us multiply each term within the parenthesis by the term
`-5 x^(4)`

Thus, we have,

`\left(-5 x^(4)\right)\left(-3 x^(2)\right)+\left(-5 x^(4)\right)(-4 x)+\left(-5 x^(4)\right)(-2)`

Applying the rule,
`(-a)(-b)=a b` in the above expression, we get,

`\left(5 x^(4)\right)\left(3 x^(2)\right)+\left(5 x^(4)\right)(4 x)+\left(5 x^(4)\right)(2)`

Let us simplify by multiplying the terms.

Thus, we get,

`15 x^(6)+20 x^(5)+10 x^(4)`

Hence, the simplified expression is
`15 x^(6)+20 x^(5)+10 x^(4)`