A Treatise On Algebra
A Treatise On Algebra
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(, _=±i)„.^. (, _-±. ). (, -=±i) + •• •.
§ 7. ] EXAMPLES. 135 § 3. THEOR. 2.
1 1 . Write seven terms of the expansion of (a-^bx-{- cx^-\ — )*.
12. Write the expansion of (l — 5x-\-Sx^y.
1 3 . Write eight terms of the expansion, ( 1 — cc — a^ + r^ + a;^ y.
14. Write the expansion of (a4- Ba;^+ co;^ + •••)^ as far as x^^.
15. Expand (a -\-b -{-c-\- dy, (a + 6 + c + d + e)^ in sums of S3'mmetric terms. • How many unlike terms in each of these sums ? How man}' partial products in each sum? Check th...e work by showing that the number of unlike terms in all the sums is as in [IV. Th. 6], and that the number of partial products in all the sums is as in [II. Th. 5 cr. 7].
§ 4. PROB. 1.
16. Extract the square roots of: IQsc^- 4. 0xy + 25^2 . I _^2x-{-7x' -{-Gx^ + dx* ; dx'-n0ax-3a'x+2oa'+5a'+^; -^+t^-+i-l.
4 y- or y X 4: 1 4- a^, a;^ + 1, xr — a^, and a^ — x^, each to 4 terms.
17. Extract the cube roots of: l+6a;+12a;2_^g3, 3. A«- 9 a^ft'^c + 27 a^^^c-- 276V. 1 - 6a; -I- 21 a^ - 44 a:^ + 63a;* - o4x^ + 27a;« ; ^-Qx^-^-Ux'f-Sy^; ^4-1+ 2 +_^; f ^ ^ ' 8 2 3a;« 27a;« {a-\-iy''af-6ca%a+iy''x^+12(fa^p(a+iy''x-8
What to read after A Treatise On Algebra?
You can find similar books in the "Read Also" column, or choose other free books by James Edward Oliver to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(, _=±i)„.^. (, _-±. ). (, -=±i) + •• •.
§ 7. ] EXAMPLES. 135 § 3. THEOR. 2.
1 1 . Write seven terms of the expansion of (a-^bx-{- cx^-\ — )*.
12. Write the expansion of (l — 5x-\-Sx^y.
1 3 . Write eight terms of the expansion, ( 1 — cc — a^ + r^ + a;^ y.
14. Write the expansion of (a4- Ba;^+ co;^ + •••)^ as far as x^^.
15. Expand (a -\-b -{-c-\- dy, (a + 6 + c + d + e)^ in sums of S3'mmetric terms. • How many unlike terms in each of these sums ? How man}' partial products in each sum? Check th...e work by showing that the number of unlike terms in all the sums is as in [IV. Th. 6], and that the number of partial products in all the sums is as in [II. Th. 5 cr. 7].
§ 4. PROB. 1.
16. Extract the square roots of: IQsc^- 4. 0xy + 25^2 . I _^2x-{-7x' -{-Gx^ + dx* ; dx'-n0ax-3a'x+2oa'+5a'+^; -^+t^-+i-l.
4 y- or y X 4: 1 4- a^, a;^ + 1, xr — a^, and a^ — x^, each to 4 terms.
17. Extract the cube roots of: l+6a;+12a;2_^g3, 3. A«- 9 a^ft'^c + 27 a^^^c-- 276V. 1 - 6a; -I- 21 a^ - 44 a:^ + 63a;* - o4x^ + 27a;« ; ^-Qx^-^-Ux'f-Sy^; ^4-1+ 2 +_^; f ^ ^ ' 8 2 3a;« 27a;« {a-\-iy''af-6ca%a+iy''x^+12(fa^p(a+iy''x-8
What to read after A Treatise On Algebra?
You can find similar books in the "Read Also" column, or choose other free books by James Edward Oliver to read onlineMoreLess
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