Math, asked by gitasethia9732, 9 months ago

factorice a^10 + b^10 faltu ans will be reported​

Answers

Answered by Ajayvishal05
1

Step-by-step explanation:

a^n+b^n

=a^n−(−b)^n

=(a−(−b))(a^(n−1) +a^(n−2) *(−b)+…+a*(−b)^n−2+(−b)^n−1)

=(a+b)(a^(n−1) −a^(n−2) b+…−ab^(n−2) +b^(n−1))

=(a+b)(a^(n−1) −a^(n−2) b+…−ab^(n−2) +b^(n−1)

Since (−b)^n=b^n⟺n is even.

Therefore for n =10, the given term cannot be factorised

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