Answer:
[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125
Step-by-step explanation:
This is a quadratic equation, so we need to open the equation first. There are three (x-5), and then we multiply them together, and then combine like terms to get the answer.
(x-5)(x-5)(x-5)=
[x(x-5)-5(x-5)](x-5)=
([tex]x^{2}[/tex]-5x-5x+25)(x-5)=
([tex]x^{2}[/tex]-10x+25)(x-5)=
x([tex]x^{2}[/tex]-10x+25)-5([tex]x^{2}[/tex]-10x+25)
[tex]x^3[/tex]-[tex]10x^2[/tex]+25x-[tex]5x^2[/tex]-125=
[tex]x^3[/tex]-15[tex]x^{2}[/tex]+25x-125
