 | William Smyth - 1830 - عدد الصفحات: 278
...power or square of the sum of two quantities contains the square of the first quantity, plus double the product of the first by the second, plus the square of the second. Thus, (7 + 3) (7 + 3) or, (7 + 3)' = 49 + 42 + 9 = 100 So also (5 a2 + 8 a2 6)2 = 25 a6 + 80... | |
 | Bourdon (M., Louis Pierre Marie) - 1831 - عدد الصفحات: 446
...enunciated in another manner : viz. The square of any polynomial contains the square of the first term, plus twice the product of the first by the second, plus the square of the second; plus twice the product of each of the two first terms by the third, plus the square of the... | |
 | Charles Davies - 1835 - عدد الصفحات: 378
...principles, (a+by=(a+b) (a+b)=a3+'2ab+b3. That is, the square of the sum of two quantities is composed of the square of the first, plus twice the product of the first by the second, plus the square of the second. Thus, to form the square of 5a3+8a3i, we have, from what has just been said, 2d. To form the... | |
 | 1838 - عدد الصفحات: 372
...(a+*)- We have, from known principles, That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. Thus, to form the square of 5a"-\-8a2b, we have, from what has just been said, 2d. To form... | |
 | Charles Davies - 1839 - عدد الصفحات: 272
...principles, (a+b)2=(a+b) (a+b)=a? + 2ab+b\ That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 1. Form the square of 2a+36. We have from the rule (2a + 36)2 — 4a2 + 12ab + 962. 2. (5a6+3ac)2... | |
 | 1839 - عدد الصفحات: 368
...is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. Thus, (7o3i3— 12ai3)3=49o4i4— 168a3i5+144a3i6. 3d. Let it be required to multiply a-\-b... | |
 | Charles Davies - 1839 - عدد الصفحات: 264
...is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. 1 Form the square of 2a — b. We have (2<z — 6)2=±4a2— 4a6 + 62. 2. Form the square of... | |
 | William Foster - 1840 - عدد الصفحات: 92
...ab —аЬ—Р a'+2aó+6* o'— 2a6+6* a* * —6' Hence 1 . The square of the sum of two quantities equals the square of the first, plus twice the product of the quantities, plus the square of the second. 2. The square of the difference of two quantities equals... | |
 | Charles Davies - 1842 - عدد الصفحات: 368
...principles, (a + b)2=(a+b) (a+i)=a 2 +2ai+i 2 . That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. Thus, to form the square of 5o 2 +8a 2 i, we have, from what has just been said, (5a 2 + 8a... | |
 | Charles Davies - 1842 - عدد الصفحات: 284
...(a-\-b). We have, from known principles, That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 1. Form the square of 2a+36. We have from the rule (2a + 36)2 = 4a2 + 12a6 + 962. 3. (5a6+3ac)2... | |
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That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 
