New Elementary Algebra: in Which the First Principles of Analysis Are Progressively Developed ...

Cover New Elementary Algebra: in Which the First Principles of Analysis Are Progressively Developed ...
New Elementary Algebra: in Which the First Principles of Analysis Are Progressively Developed ...
Benjamin Greenleaf
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Develop the expression ( — 2 or* ft-*)- 4 .
Ans. tV« m * 8 - 8. Required the sixth power of _.» • Ans. ym - 9. Raise — , t» t > to ^ e thM power.
Ans. — — , -= • 64 ar**ifd* 10. What is the with power of g^-p-Li.?
2 m a- w * ft""* — *) (« — *) = * — SaH + SaP — ft*.
But this process of involving binomials by actual mul- tiplication must be very tedious, when high powers are 'required. There is, however, a much abridged process, discovered by Sir Isaac Newton, called THE BINOMIAL THEOREM.
194.
...The Binomial Theorem expresses a general method of developing any power of a binomial.
How may binomials be raised to any power 1 What does the Bi- nomial Theorem express?
INVOLUTION.


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