 | Richard W. Green - 1839 - 156 σελίδες
...sum, by their sum. a+b a+b a3+ab +ab+b3 By this operation we find the following general property. The square of the sum of two numbers is equal to the square of the Jlrst number, plus twice the product of the two numbers, plus the square of the last number. §173.... | |
 | Davis Wasgatt Clark - 1844 - 394 σελίδες
...) , . ,, ,, , n ^ a +0=0 -\-2p. gether ) Fifth Theorem. 201. The square of a polynomial expressing the sum of two numbers, is equal to the square of the fIrst term -f twice the product of the two terms + the square of th2 last term. Let s represent the sum,... | |
 | Charles William Hackley - 1846 - 542 σελίδες
...square of the sum of two numbers or quantities is equal to the square of the first of the two quantities plus twice the product of the first and second, plus the square of the second. 2. That the product of the stun and difference is equal to the difference of the squares ; and, 3.... | |
 | Elias Loomis - 1846 - 380 σελίδες
...II. (61.) The square of the. difference of two quantities, is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus if we multiply a — b By a — b a2—ab — ab We obtain the product a2 — 2ab + b2 EXAMPLES.... | |
 | Elias Loomis - 1846 - 376 σελίδες
...II. (61.) The square of the difference of two quantities, is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus if we multiply a — b By a — b We obtain the product a2 — lab + № EXAMPLES. 1. (x — y)2=... | |
 | Davis Wasgatt Clark - 1846 - 374 σελίδες
...two equations to-) gether • . - ' - - \ Fifth Theorem. 201. The square of a polynomial expressing the sum of two numbers, is equal to the square of the first term -f twice the product of the two terms + the square of th( last term. Let s represent the sum,... | |
 | Charles William Hackley - 1846 - 544 σελίδες
...two numbers or quantities is equal to the square of the first of the two quantities plus twice tho product of the first and second, plus the square of the second. 2. That the product of the sum and difference is equal to the difference of the squares ; and, 3. That... | |
 | James Bates Thomson - 1847 - 432 σελίδες
...three figures in the given number, there must be two figures in the root ; (Art. 562. Obs. 2 ;) but the square of the sum of two numbers, is equal to the square of the first part ad 'ed to twice the product of the two parts and the square of the last part ; it follows therefore... | |
 | James Bates Thomson - 1847 - 426 σελίδες
...the two parts, viz: 20X3+20X3=120, added to the square of the last part, viz : 3X3=9. Hence, 562. The square of the sum of two numbers is equal to the square of the first part, added to twice the product of the two parts, and the square of the last part. OBS. 1. The product... | |
 | James Bates Thomson - 1848 - 434 σελίδες
...figures in the given number, there must be two figures in the root ; (Art. 562. Obs. '2 ;) but the square of the sum of two numbers, is equal to the square of the first part added to twice the product of the two parts and the square of the last part; it follows therefore... | |
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Th,e square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second, plus the square of the second. 
