Answer:
[tex]15x^{6}-20x^{5}+10x^4)[/tex]
Step-by-step explanation:
We have been given an expression [tex]-5x^4(-3x^2+4x-2)[/tex] and we are asked to simplify our given expression.
We will use distributive property [tex]a(b+c)=a*b+a*c[/tex] to simplify our given expression.
Upon distributing [tex]-5x^4[/tex] we will get,
[tex](-5x^4*-3x^2)+(-5x^4*4x)-(-5x^4*2)[/tex]
Using exponent property [tex]a^b*a^c=a^{b+c}[/tex] we will get,
[tex](15x^{4+2})+(-20x^{4+1})-(-10x^4)[/tex]
[tex](15x^{6})+(-20x^{5})-(-10x^4)[/tex]
[tex]15x^{6}-20x^{5}+10x^4)[/tex]
Therefore, our given expression simplifies to [tex]15x^{6}-20x^{5}+10x^4)[/tex].
