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Eaton's Elementary Algebra; Designed for the Use of High Schools and Academies

Eaton's Elementary Algebra; Designed for the Use of High Schools and Academies


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1868 Excerpt: ... of 3 x2. Ans. 21 x3. 4. Find the fourth power of a8 b2. Ans. a12 bs. 5. Find the third power of 4a2x. Ans. 64 a6 x8. 6. Find the square of 2 3r1. Ans. 4 ar2. 7. Find the cube of 3xsif. Ans. 27 ar9/. 8. Find the mth power of a b. Ans. amlm. 9. Find the third power of--3 a2 b. Ans.--27 a6 68. 10. Expand 11. Expand 12. Expand 13. Expand 14. Expand 15. Expand 16. Expand 17. Expand 18. Expand 19. Expand 20. Expand 21. Expand According to Art. 124, to find the cube of any quantity we must take it three times as a factor; taking--r three times as a factor, and performing the multiplication by Art. 95, we have 5-7=. Hence, RULE. Involve both numerator and denominator to the required power. 2. Find the square of---3-Ans.--, 3. Find the cube of--.--, Ans. 3c2d 27 f d? 4. Find the fourth power of o-j 5. Find the fifth power of Q 2 a 63 2 y, --1 6. Find the third power of 5cym 7. Find the mth power of-r--s 3z--y- 8. Find the fourth power of--, --- --=---b c dn 3 a8 bl c2 9. Find the third power of--i--nTii=' i __a 9 10. Find the fourth power 11. Find the fifth power of--INVOLUTION OF BINOMIALS. 128. A Binomial can be raised to any power by successive multiplications.. But when a high power is required, the operation is long and tedious. The Binomial Theorem, first developed by Sir Isaac Newton, enables us to expand a binomial to any power by a short and speedy process. 129. In order to investigate the law which governs the expansion of a binomial we will expand a--b and a--t to the fifth power by multiplication. By examining the different powers of a--b and a--', in these Examples, we shall find the following invariable laws governing the expansion: --1st. The leading quantity (i. e. the first quantity of the binomial) begins in the first term of the po...


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Product Details
  • ISBN-13: 9781153809962
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 40
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1153809966
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 91 gr


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