STEP - BY - STEP EXPLANATION
What to do?
Expand using binomial theorem.
Given:
[tex](5x^3-x)^8[/tex]
Applying Binomial theorem;
[tex](a+b)^n=\sum_{k\mathop{=}0}^nnC_ka^{n-k}b^k[/tex]
a=5x³ and b=-x
[tex](5x^3-x)^8=\sum_{k\mathop{=}0}^8\text{ }^8C_0(5x^3)^{8-k}(-x)^k[/tex]
Expand the summation.
Now, simplify the above.
[tex]=390625x^{24}-625000x^{22}+[/tex]
