Question

Simplify. −3x3(−2x2+4x−3)

Answer 1

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

Answer 2

Answer:

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

Step-by-step 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 $6x^5-12x^4+9x^3$