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. New Practical Arithmetic - Page 361by Eugene L. Dubbs - 1901 - 440 pagesFull view - About this book
| Silvestre François Lacroix - Algebra - 1818 - 268 pages
...tens plus the unite, or 2 a + b ; this multiplied by 7 or 6, reproduces 609 = 2 ab + 62, or double **the product of the tens by the units, plus the square of the units.** This being subtracted leaves no remainder, and the operation shows, that 47 is the square root of 2209.... | |
| Adrien Marie Legendre - Geometry - 1819 - 208 pages
...the tens plus the units, or 2 a + b ; this multiplied by 7 or b, reproduces 609 = 2a6 + 6s, or double **the product of the tens by the units, plus the square of the units.** This being subtracted leaves no remainder, and the operation •hows, that 47 is the square root of... | |
| Bézout - Arithmetic - 1825 - 236 pages
...add these products, and we have, for the square, the number 2916, which, as we see, is composed of **the square of the tens, plus twice the product of...the tens by the units, plus the square of the units** of the number 54. 134. What we have, observed being an immediate consequence of the rules of multiplication,... | |
| William Smyth - Algebra - 1830 - 264 pages
...62=2209. Thus the square of a number, consisting of units and tens, is composed of three parts, viz. **the square of the tens, plus twice the product of the tens** multiplied by the units, plus the square of the units. Thus in 2209, the square of 47, we have The... | |
| Zadock Thompson - Arithmetic - 1832 - 168 pages
...appears that the square of a number consisting of tens and units is made up of the square of the units, **plus twice the product of the tens, by the units, plus the square of the** tens. See this exhibited in figure F. As 10X 10=100, the square of the tens can never make a part of... | |
| Zadock Thompson - Arithmetic - 1832 - 168 pages
...appears that the square of a number consisting of tens and units is made up of the square of the units, **plus twice the product of the tens, by the units, plus the square of the** tens. See this exhibited in figure F. As 10X 10=100, the square of the tens cau never make a part of... | |
| Charles Davies - Algebra - 1835 - 353 pages
...64 and (a+i)3= (64)3 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.** 117. If now, we make the units 1, 2, 3, 4, &c., tens, by annexing to each figure a cipher, we shall... | |
| Silas Totten - Algebra - 1836 - 304 pages
...the units, we shall have, for the square of a + b, a3 + 2ab + b ; that is, the square of the tens, **twice the product of the tens by the units, plus the square of the units.** Let a = 8, and 6 = 5: then, since a represents the tens, and b the units, a + b becomes 80 + 5 = 85... | |
| Bourdon (Louis Pierre Marie, M.) - Algebra - 1838 - 355 pages
...units. Denoting the tens by a, and the units by b, we have (Art. 198), Whence it follows, that the cube **of a number composed of tens and units, is equal to the** cube of the tens, plus three times the product of the square of the tens by the units, plus three times... | |
| Charles Davies - Algebra - 1839 - 252 pages
...shall have a+b =64, and 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.** 94. If, now, we make the units 1,2, 3, 4, &c, tens, or units of the second order, by annexing to each... | |
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