Question

Simplify.

−3x3(−2x2+4x−3)

Answer 1

-3x^3(-2x^2 + 4x - 3) = 6x^5 - 12x^4 + 9x^3

Answer 2

`-3x^3(-2x^2+4x-3)` simplifies to
`6x^5-12x^4+9x^3`

Explanation:

Given expression
`-3x^3(-2x^2+4x-3)`

We have to simplify the above expression,

Consider the given expression
`-3x^3(-2x^2+4x-3)`

Multiply each term in brackets by
`-3x^3`, we get,

`-3x^3(-2x^2+4x-3)=-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)`

Solving further, using
`x^n\cdot x^m=x^(n+m)` we get,

`-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)=6x^5-12x^4+9x^3`

Thus,
`-3x^3(-2x^2+4x-3)` simplifies to
`6x^5-12x^4+9x^3`