Question

Simplify. −5x4(−3x2+4x−2)

1:−8x^6−x^5−7x^4
2:15x^8−20x^4+10
3:15x^6−20x65+10x64
4:−15x^8−20x^5+10x^4

Answer 1

The answers my dear friends is 15x^6-20x^5+10x^4

Answer 2

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

Explanation:

We have been given an expression
`-5x^4(-3x^2+4x-2)` and we are asked to simplify our given expression.

We will use distributive property
`a(b+c)=a*b+a*c` to simplify our given expression.

Upon distributing
`-5x^4` we will get,

`(-5x^4*-3x^2)+(-5x^4*4x)-(-5x^4*2)`

Using exponent property
`a^b*a^c=a^(b+c)` we will get,

`(15x^(4+2))+(-20x^(4+1))-(-10x^4)`

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

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

Therefore, our given expression simplifies to
`15x^(6)-20x^(5)+10x^4)`.