New Elementary Algebra: for Common Schools And Academies

Cover New Elementary Algebra: for Common Schools And Academies
New Elementary Algebra: for Common Schools And Academies
Benjamin Greenleaf
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3d power.
a +6 a 4 + 3a 8 J+ 3a 2 & 2 + a P -[- aH-f: 3a 2 & 2 4- 3aP+J* a 4 + 4a 8 ft+ 6a^+ 4a^+J 4 . . 4th power.
a -j-i a 5 + 4a 4 i+ 6a s 5 2 + 4a 2 ^+ o5 4 4- a*b + 4rf8^+ 6a*#4-±«** + P a 6 + 5 a 4 J + 10 a 3 J 2 + 10 a 2 6 s + 5 a ¥ -f # 5th power.
Note. In any binomial, as a -f 6, or a — 6, the term at the left u called the leading letter or quantity, and the other the following letter or quantity.
2. Let a — b be raised to the fifth power.
In what manner is a -+■ b raised to the fifth
...power ? How is a — b raised to the same power ?
15* 174 ELEMENTABY ALGEBRA.
1st power a —b a —h a* — ah — ah +#> a —h a , -2a 2 J+ ah 2 — 0*6+ 2ab * —P a* — Sa 2 h+ 3ah* — P .
a — h • a* — 3a*h + 3a 2 * 2 — afl 8 — aH-f- 3a 2 ^— 3a0* + *• a *_4a s & + ea 2 ^ 2 — 4a# + i 4 .
a — h • a 8 -4a 4 i+ 6 a 3 £ 2 — 4a 2 # + a£ 4 — a 4 6 + 4a 8 & 2 — 6a 2 ^ + 4:« ft4 — • 6 5 3d power.
4th power.
a 6 _ 5

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