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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. "
A New System of Arithmetick Theorical and Practical: Wherein the Science of ... - Page 190
by Alexander Malcolm - 1730 - 627 pages
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...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 —...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...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...
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1829 - 284 pages
...= 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 —...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1832 - 290 pages
...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...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Measurement - 1835 - 308 pages
...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...
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Arithmetic made easy

A. Turnbull - Arithmetic - 1836 - 368 pages
...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 —...
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Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - Arithmetic - 1837 - 296 pages
...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...
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Gradations in Algebra in which the First Principles of Analysis are ...

Richard W. Green - Algebra - 1839 - 156 pages
...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...
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A Treatise on Algebra: Arithmetical algebra

George Peacock - Algebra - 1842 - 426 pages
...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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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 pages
...of the two parts, viz: 20X3+20X3=120, added to the square of the last part, viz : 3X3=9. Hence, 562. The square of the sum of two numbers is equal to the square of the first part, added to twice the product of the two parts, and the square of the last part....
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