SOLUTION: Could anyone offer their expertise on this one please?? Im stumped!
Polynomials. Simplify. Do not use negative exponents in the answer.
(m−5)10
Algebra.Com
Question 373683: Could anyone offer their expertise on this one please?? Im stumped!
Polynomials. Simplify. Do not use negative exponents in the answer.
(m−5)10
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I'm guessing but I think you mean:
^{10})
And you want the binomial expansion
In general:
^n\ =\ \sum_{k=0}^n\,\left(n\cr k\right)\,x^{n-k}y^k)
^n\ =\ \sum_{k=0}^n\,(-1)^k\,\cdot\,\left(n\cr k\right)\,x^{n-k}y^k)
So the first four terms of your sum:
^{10}\ =\ \sum_{k=0}^{10}\,(-1)^k\,\cdot\,5^k\,\cdot\,\left(10\cr\ k\right)\,m^{10-k})
are:
Remember: \ =\ \frac{n!}{k!(n\,-\,k)!})
You can do the rest of the arithmetic, and don't forget to alternate the signs.
John
My calculator said it, I believe it, that settles it
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