A Key to the Elementary Treatise On Algebra

Cover A Key to the Elementary Treatise On Algebra
A Key to the Elementary Treatise On Algebra
Thomas Sherwin
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Rf 3- SECTION XXXIX.
Art. 113.
1. A 7 + 7a 6 6 + 21a 5 6 2 + 35a 4 6 3 + 35a 3 6 4 + 21« 2 6 5 ^ 7 a 6 6 + b\ 2. X 10 + 10x 9 y + 45x 8 y 2 + 120x7y 3 + 210xV + 252x 5 y + 210 x 4 3/6 _|_ 120 x 3 if + 45 x 2 y 8 + 1 x y» + y ™.
3. M 5 — 5 ra 4 w + 10 m 3 w 2 — 10 m 2 n 3 + 5 m n* — n 5 .
34 key. XXXIX.
4. 6 11 + 116 10 c + 55&9c 2 + 165& 8 c 3 + 330 6 7 c 4 + 462# c 5 + 462 b 5 c 6 + 330 M c 7 + 165 b 3 c 8 + 55 6 2 c 9 + 1 1 6 c 10 + c 11 .
5. A;l8 — 13 x 12 y + 78 x 11 y* — 286 x 10 y 3 + 715
... x 9 y 4 — 1287 z 8 y5_|_ 1716 z 7 yi_ me 2 6y7_j_ 1 287z 5 y 8 — 715x 4 y 9 + 286 x 3 y 1 ° — 78 x 2 y^ + 13 a; y 12 — y 13 .
6. Performed.
7. X5 + 10x 4 y + 40x 3 y 2 + 80x 2 y 3 + 80xy 4 + 32y5.
8. 216 a 3 + 540 a 2 x + 450 a x 2 + 125 x 3 .
9. Performed.
1 0. 32 a 5 + 240 a 4 x + 720 a 3 x 2 + 1080 a 2 x 3 + 810 a x 4 + 243x5.
11. 64 x 3 — 144x 2 y + 108x3/ 2 — 27y 3 + 48«x 2 — 72axy + 27ay 2 + 12 a 2 x — 9 a 2 y + a 3 .
12. A 3 + 3 a 2 b + 3 a 6 2 + b 3 + 3 a 2 c + 6 a 6 c + 3 5 2 c + 3 a 2 d + 6a&d + 3 6 2 d+3a c 2 +6acd + 3ad?


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