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" The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number. "
Elementary Algebra with a Table of Logarithms - Σελίδα 60
των Julius Lederer Neufeld - 1920 - 383 σελίδες
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A New System of Arithmetick Theorical and Practical: Wherein the Science of ...

Alexander Malcolm - 1730 - 627 σελίδες
...Square of the other Part, is equal to the Squares of the Sum of the whole and that Part. THEOREM V. THE Square of the Sum of two Numbers is equal to the Sum of the Square of one of them • and the Product of thé other into the Sum of this other and double the former....

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 372 σελίδες
...a + b a* +2 ab +b*. That is, the product of the sum of two numbers, ty itself, or the second power of the sum of two numbers, is equal to the sum of the second powers of the two numbers, added to twice the product of the two numbers. J1f ultiply a —...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...a +b a* +ab ab + b* That is, the product of the sum of two numbers, by itself, or the lecond power of the sum of two numbers, is equal to the sum of the tecond powers of the two numbers, added to twice the product of the two numbers. Multiply a — b by...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1829 - 276 σελίδες
...= 95, and Multiply a That is, the product of the sum of two numbers, by itself, or the second power of the sum of two numbers, is equal to the sum of tlte second powers of the two numbers, added to twice ihe product of the two numbers. Multiply a —...

The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1832 - 348 σελίδες
...Answer. 1 1 1 23 71 69 2608 | 20864 20864 * The principle on which the preceding rule depends is, that the square of the sum of two numbers is equal to the squares of the numbers with twice their product. Thus, the square of 34 is equal to the squares of...

An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1835 - 288 σελίδες
...its circumference to be 24880 miles ? Ans. 7919.53666 miles, nearly. Extraction of the Square Root. The square of the sum of two numbers is equal to the squares of the numbers with twice their product. Thus, the square of 24 is equal to the squares of...

Arithmetic made easy

A. Turnbull - 1836 - 335 σελίδες
...From these examples we see that the product of the sum of two numbers, by their sum, that is to say, the square of the sum of two numbers, is equal to the sum of their squares added to twice their product. 0+6 12 + 8 a —b 12 — 8 114 — 96 — 96 — 64 —...

Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - 1837 - 284 σελίδες
...accuracy necessary in the result muy require. Tke pnnniJe on which the preceding rule depends, is, that the square of the sum of two numbers is equal to the squares of the numbers with twice their product. Thus, the square of 34 is equal to ttie squares of...

Gradiations in Algebra: In which the First Principles of Analysis are ...

Richard W. Green - 1839 - 148 σελίδες
...their sum, by their sum. a+b a+b a3+ab +ab+b3 By this operation we find the following general property. The square of the sum of two numbers is equal to the square of the Jlrst number, plus twice the product of the two numbers, plus the square of the last...

A Treatise on Algebra: Arithmetical algebra

George Peacock - 1842
...39.) Cube of a +b a +b 6'= (a + 6)* (Art. 62.) a + 6 a3 + 3a'6 + 3a6" + 63 = (a + ft)' Or the cube of the sum of two numbers is equal to the sum of their cubes, together with three times the two products which are formed by multiplying one of them...




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