 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.  Advanced Arithmetic - Page 243by John William McClymonds, David Rhys Jones - 1910 - 324 pagesFull view - About this book
 | Francis Henney Smith - Arithmetic - 1845 - 710 pages
...for any other number, we conclude, 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. Q. Of what parts may every number be considered as composed... | |
 | Charles Davies - Arithmetic - 1846 - 378 pages
...square AE, the two rectangles FE and EC, and the square ED. Hence, 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. Let it now be required to extract the square root of 1296.... | |
 | Charles William Hackley - Algebra - 1846 - 544 pages
...3714 tens, plus two units.) Now the square of the root sought, that is, the proposed number, contains the square of the tens, plus twice the product of the tens by the units, plus the square of the units. But the square of the tens must give at least hundreds... | |
 | James Robinson (of Boston.) - 1847 - 304 pages
...tens ; hence, we infer that the second power of every number composed of tens and units must contain the square of the tens, plus twice the product of the tens multiplied by the units, plus the square of the units. We will now reverse the process of finding the... | |
 | Charles Davies - Arithmetic - 1847 - 368 pages
...square AE, the two rectangles FE and EC, and the square ED. Hence, 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. Let it now be required to extract the square root of 1296.... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...and (a+4)2=(64)2; or 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... | |
 | Charles Davies - Arithmetic - 1850 - 412 pages
...square AE, the two rectangles FE and EC, and the square ED. Hence, 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. Let it now be required to extract the square root of 1296.... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...units, it equal to the cube of the tens, — plus three times the square of the tens, plus three limes the product of the tens and units, plus the square of the units, all three multiplied by the units. With this principle, let us proceed to extract the cube root of... | |
 | Charles Davies - 1852 - 344 pages
...sum is 32+2(3 x 6)+62 : that is, 3 + 6 3 + 6 32+3x6 3'+2(3x6)+6 H The square of a number is equal to the square of the tens, plus twice the product of the tens by the units, plus the square of the units. The same may be shown by the figure : Let the line AB re-... | |
 | David Henry Cruttenden - Arithmetic - 1853 - 330 pages
...the square of 45. Thus, 45 = 40+ 5 40+ 5 200 + 25 1600 + 200 Hence, 452 = 1600+400 +25=2025 Ans. That is, the square of the tens, plus twice the product of the tens into the units, plus the square of the units. 16. What is the 4th power of 12 ? Ans. 20,736. 17. Find... | |
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