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" The exponent of a in the first term is the same as the exponent of the power to which the binomial is raised, and it diminishes by one in each succeeding term. "
An Introduction to Algebra Upon the Inductive Method of Instruction - Σελίδα 203
των Warren Colburn - 1844 - 276 σελίδες
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 372 σελίδες
...first power consists of two terms, the second power of three terms, the third power of four terms, &cc. In every power a is found in every term except the...exponent of a in the first term is the same as the expolent of the power to which the binomial is raised, and t diminishes by one in each succeeding term....

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1826 - 276 σελίδες
...attended to. a'x+2ax'+x3 a + x a6 + 4 a* x + 6 a3 x3 + 4 a'x3 + ax* . a'x + 4a3a? + 6 a' x3 + 4 ax* The law of the formation of the literal part is sufficiently...diminishes by one in each succeeding term. The exponent ofx in the second term is 1, and it increases by one in each succeeding term, until in the last term...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1829 - 276 σελίδες
...every power a is found in every term except the last, and x is f mnd in every term except the iir.>t. The exponent of a in the first term is the same as...binomial is raised, and it diminishes by one in each succeed ng term. Tho exponent of x in the second term is 1, and it increases by one in each succeeding...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1830 - 276 σελίδες
...-f- x a3 + 2 a* x -f- aa;* a*a; +2az* af- x a -f- x x)*= a'+Sa'z + lOo'.r'-!- 10 a' -T3 + 5 ax* -f- x'. The law of the formation of the literal part is...diminishes by one in each succeeding term. The exponent of a; in the second term is 1, and it increases by one in each succeeding term, until in the last term...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1830 - 276 σελίδες
...-f- 3 a3 x* + a x3 a -f- x a4 x + 6 a3 x* + 4 a* a;3 + aa;4 04 x -f- 4 a> x2 + 6 a* a;3 + 4 ax* + of The law of the formation of the literal part is sufficiently...diminishes by one in each succeeding term. The exponent of a; in the second term is 1, and it increases by one in each succeeding term, until in the last term...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1831 - 276 σελίδες
...-faa;' a' x + 2 a x' + x3 (a + x)3 — a3 + 3 a' x + 3 a x' + x3 a-\- x a -\- x 10 a3 tf + Wa'x3 +5 ax4 The law of the formation of the literal part is sufficiently...diminishes by one in each succeeding term. The exponent of a; in the second term is 1, and it increases by one in each succeeding term, until in the last term...

An Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - 1833 - 276 σελίδες
...of two terms, the second power of three terms, the third power of four terms, &.c. In every power o is found in every term except the last, and x is found...diminishes by one in each succeeding term. The exponent of a; in the second term is 1, and it increases by one in each succeeding term, until in the last term...

An Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - 1838 - 276 σελίδες
...third . . power of four terms,' &c.. In every power a is found in every term except the last, arid a; is found in every term except the first. The exponent...first term is the same as the exponent of the power to .Whieh the binomial is raised, and it diminishes by one in cacti succeeding term. '." ' , .The exponent...

New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 324 σελίδες
...each term is 5, or the same as the exponent of the power. Hence, The exponent of the leading letter in the first term is the same as the exponent of the power, and decreases by one in each successive term to the right. The exponent of the following letter in...

Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - 1870 - 608 σελίδες
...right-hand side is one more than the number of the binomial factors which are multiplied together. II. The exponent of a; in the first term is the same as the number of binomial factors, and in the succeeding terms each exponent is less than that of the preceding...




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