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" The square of two figures is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. "
Arithmetic for Business with Short Methods and Rapid Calculations in All ... - Page 166
by Jacob Henry Minick, Clement Carrington Gaines - 1904 - 398 pages
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The Bryant and Stratton Business Arithmetic: A New Work, with Practical ...

Henry Beadman Bryant, Emerson Elbridge White, C. G. Stowell - Business mathematics - 1872 - 564 pages
...decimal places used. 3fi4. Observe further, that (he square of any number separated into tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. (Art. 355, 1.) :>('>,'>. These two principles concerning...
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A Mental Arithmetic, on the Inductive Plan: Being an Advanced Intellectual ...

Benjamin Greenleaf - Mental arithmetic - 1872 - 180 pages
...is the square of 75 ? Of 85 ? 8. What is the square of 32 ? NOTE. The square of any number я equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. Thus, 82 is 3 tens and 2 units ; 3 tens, or 30, squared...
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A Practical Arithmetic: Upon the Basis of the Works of Geo. R. Perkins

George Payn Quackenbos, George Roberts Perkins - Arithmetic - 1872 - 336 pages
...2 (20 x 5) + 5* ==25 squared = 625 Hence, The square of a number composed of tens and units, equals the square of the tens, plus twice the product of the tens and units, plus the square of the units. 502. Now reverse the process. Find the sq. root of 625. According...
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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 263 pages
...is ioOOO, etc. 2. The square of any number expressed by more than one order of figures consists of the square of the tens, plus twice the product of the tens by the units, plus the square of the units. For any number expressed by more than one order of figures...
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A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 360 pages
...841 " 800+40+1. If, then, 841 is the square of a number composed of tens and units, it must contain the square of the tens, plus twice the product of the tens by the units, plus the square of the units. But these three terms are blended together in 841, and...
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School Arithmetic: Analytical and Practical

Charles Davies - Arithmetic - 1874 - 336 pages
...times, we have 3 * G+3-, and the sum is 32+2(3 x 6)+62 : thatis' 3 + 2(3x6)+6 The square of a number is equal to the square of the tens, plus twice the product of the lens by the units, plus the square of the units. The same may be shown by the figure : Let the line...
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Complete Arithmetic: Theoretical and Practical

William Guy Peck - Arithmetic - 1877 - 341 pages
...number depends on the following principle of algebra : The square of a number composed of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. ROOTS. This may be illustrated geometrically. For, let...
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The New American Arithmetic, Part 3

Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877
...square of the units. This analysis indicates that the square of a number consisting of tens and units is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. To prove the accuracy of the proposition, let the tens...
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Complete Arithmetic: Comprising the New Intermediate Arithmetic and Part of ...

Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 471 pages
...'- : hence we have the following FORMULA. The square of a number expressed by two figures equals the square of the tens, plus twice the product of the tens by the units, plus the square of the units ; or, (t + )2 = i2 + 2 tu + M2. WRITTEN EXEIiCISES. PROBLEM....
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 542 pages
...OPERATION. 45 = 45 = 225 = 180 40+5 40+5 40X5+52 = 40*+40X5 2025 = 402+2(40x5)+5a FQ the square of 45 equals the square of the tens, plus twice the product of the tens by the units, plus the square of the units, which we find to be 2025. SYNTHETIC SOLUTION. Let the...
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