 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.  A Treatise on Algebra - Seite 38von Elias Loomis - 1873 - 360 SeitenVollansicht - Über dieses Buch
 | William Smyth - 1830 - 278 Seiten
...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 <tb + 64 a4... | |
 | Bourdon (M., Louis Pierre Marie) - 1831 - 446 Seiten
...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 third; plus... | |
 | Charles Davies - 1835 - 378 Seiten
...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 ilie first two terms by the third, plus the square of the third ; plus... | |
 | 1838 - 372 Seiten
...enunciated in another manner : via;. The square of any polynomial contains the square of ihe first term, plus twice the product of the first by the second, plus the square of the second ; plus twice the product of the first two terms by the third, plus the square of the third ; plus twice... | |
 | Charles Davies - 1839 - 264 Seiten
...the binomiaj (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...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 = 4<z3 + 12ab + 962. 2. (5a6 + 3<zc)2... | |
 | 1839 - 368 Seiten
...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 by a — b. We... | |
 | Bourdon (M., Louis Pierre Marie) - 1839 - 368 Seiten
...binomial, (a-\-b). We have, from known principles, That is, the square ofthe sum of two quantities is equal to the square of the first, plus twice the product of tl>e first by the second, plus the square of the second. Thus, to form the square of 5a2+8a26, we have,... | |
 | Charles Davies - 1840 - 264 Seiten
...the binomial (a+6). 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 frst by the second, plus the square of the second. 1. Form the square of 2a+3J. We have from the rule... | |
 | Charles Davies - 1842 - 368 Seiten
...known 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...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 2 i) 2 =25a 4... | |
 | Charles Davies - 1842 - 284 Seiten
...binomial (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...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 =25a262+... | |
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