Hello, could you please help me? the binomial is (5x^3-x)^8

Question

asked Dec 19, 2023 125k views

1 Answer

Jacob Stuligross · Answer 1 · 2023-12-24T21:46:09+0000

STEP - BY - STEP EXPLANATION

What to do?

Expand using binomial theorem.

Given:

Applying Binomial theorem;

$(a+b)^n=\sum_{k\mathop{=}0}^nnC_ka^(n-k)b^k$

a=5x³ and b=-x

$(5x^3-x)^8=\sum_{k\mathop{=}0}^8\text{ }^8C_0(5x^3)^(8-k)(-x)^k$

Expand the summation.

Now, simplify the above.