 | Emerson Elbridge White - Arithmetic - 1870 - 350 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. (Art. 395.) Hence, the difference between 3364 and the square of the 5 tens of its root, is composed... | |
 | Robert Wallace - 1870 - 164 pages
...the square of a number composed of tens and units consists of the square of the tens, plus twice the product of the tens by the units, plus the square of the units. If we reverse this process, we shall find the square root of the number. Thus we perceive that the... | |
 | John Alexander Henderson - 1872 - 64 pages
...consisting of tens and units. The square of such a number is equal to the Bquare of the tens, plus twice the product of the tens by the units, plus the square of the units. Thus 25 is composed of 2 tens or 20 and 5 units; and the 20 squared equals, 4:00 20 multiplied by 5... | |
 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...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 may be regarded as an algebraic polynomial,... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...we subtract the square of the tens from the given number, the remainder will be equal to twice the product of the tens by the units, plus the square of the units. Consequently, if we divide the remainder by twice the tens, the quotient will give the units, or a... | |
 | William Guy Peck - Arithmetic - 1877 - 430 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. ROOTS. This may be illustrated geometrically. For, let A be a square, each of whose sides is equal... | |
 | Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 496 pages
...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. — Write the square of 85. PKOCESS.... | |
 | Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...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 of a number be denoted by a, and the units... | |
 | Edward Brooks - Arithmetic - 1877 - 528 pages
...= 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 line AB represent a length of 40 units, and... | |
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The result of this operation, 1184, contains twice the product of the tens by the units, plus the square of the units. 
