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" Which proves that the square of a number composed of tens and units, contains the square of the tens plus twice the product of the tens by the units, plus the square of the units. "
Elements of Geometry - Page 101
by Adrien Marie Legendre - 1825 - 224 pages
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Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - Arithmetic - 1888 - 484 pages
...required root. Squaring the 8 tens and subtracting, we get a remainder of 656, frhich contains twice the product of the tens by the units, plus the square of the units. / Now, twice 8 tens are 16 tens, or 160 ; and 160 are contained four times in 656. The figure 4, therefore,...
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Numbers Applied, a Complete Arithmetic, Part 1

Andrew Jackson Rickoff - Arithmetic - 1886 - 688 pages
...Thus, In this case we see that 365. The square of 43 is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. v- Q It may be shown that the same is true of any number. Raise the following numbers to the second...
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Numbers Applied

Andrew Jackson Rickoff - 1888 - 464 pages
...Thus, in this case we see that 365. The square of 43 is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. It may be shown that the same is true of any number. Raise the following numbers to the second power,...
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Practical Arithmetic

Charles Scott Venable - Arithmetic - 1888 - 402 pages
...third power. III. The square of a number containing tens is equal to the square of the tens plus twice the product of the tens by the units plus the square of the units. IV. The cube of a number containing tens and units equals the cube of the tens plus three times the...
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An Arithmetic for Preparatory Schools, High Schools, and Academies

Charles Austin Hobbs - Arithmetic - 1889 - 370 pages
...the square of any 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. I. Find the square root of 5329. 5329(70 + 3 = 73 Since the number consists 490O of two periods, the...
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University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - Algebra - 1889 - 330 pages
...the tens, we subtract their square from the given number, and the remainder will be made up of twice the product of the tens by the units plus the square of the units. To find the units, divide -the remainder by twice the tens, and the quotient will be the units, or...
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Algebra for the Use of High Schools, Academies and Colleges

John Bernard Clarke - Algebra - 1889 - 566 pages
...the remainder that part of the square of the tens plus the units not already subtracted, viz., twice the product of the tens by the units, plus the square of the units, on the principle indicated in (218). We thus have the following RULE.—Separate the given number into...
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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 382 pages
...42. That is, the square of any number 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. 198. It follows from Art. 197 that 742 - 702 = 2 x 70 x 4 + 42 = (2 x 70 + 4) x 4. That is, if from...
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Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...that the square of a numbef whose figures are tens and units equals The square of the tens plus twice the product of the tens by the units plus the square of the units. 86. Find the square root of 576. As 576 consists of three figures, its 576(24 Aus square root has two...
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The Senior Arithmetic for Grammar Schools

Charles Edward White - Arithmetic - 1897 - 312 pages
...— 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. FORMULA. — Tens2 + 2 x tens x units -f- units2. Separate the following into tens and units, and-...
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