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abenjamin489
14.09.2019 •
Mathematics
Let x,y \epsilon r. use mathmatical induction to prove the identity.
x^{n+1}-y^{n+1}=(x-y)(x^{n}+x^{n-1}y++xy^{n-1}+y^{n})
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Ответ:
Step-by-step explanation:
We will prove by mathematical induction that, for every natural n,
We will prove our base case (when n=1) to be true:
Base case:
Inductive hypothesis:
Given a natural n,
Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.
Inductive step:
Observe that, for y=0 the conclusion is clear. Then we will assume that![y\neq 0.](/tpl/images/0231/3320/8cde2.png)
With this we have proved our statement to be true for n+1.
In conlusion, for every natural n,
Ответ:
idk
Step-by-step explanation:
i dont know im sorry