 | William Smyth - 1830 - 278 σελίδες
...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 +... | |
 | Bourdon (M., Louis Pierre Marie) - 1831 - 446 σελίδες
...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 σελίδες
...(a-by=(ab) (ab)=a1-2ab+V That is, the square of the difference between two quantities is composed of the square of the first, minus twice the product of...first by the second, plus the square of the second. Thus, (7a3i3-12ai3)3=49aW-168a''is+144a3ii1. 3d. Let it be required to multiply a+b by a— b. We have... | |
 | 1838 - 372 σελίδες
...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... | |
 | Bourdon (M., Louis Pierre Marie) - 1839 - 368 σελίδες
...6)2=(a-6) (a-6)=a2-2a6 + 62: That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of...first by the second, plus the square of the second. Thus, (7a262— 12a63)2=49a4M— 168a365+144a266. 3d. Let it be required to multiply a+6 by a — b.... | |
 | Charles Davies - 1839 - 272 σελίδες
...difference a— b, we have That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of...first by the second, plus the square of the second. 1 Form the square of 2a — b. We have 2. Form the square of 4ac — be. We have (4 ac — be)2 —... | |
 | Charles Davies - 1839 - 264 σελίδες
...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 = 4<z3 + 12ab + 962. 2. (5a6 + 3<zc)2... | |
 | Charles Davies - 1841 - 264 σελίδες
...J)=a2— 2aJ+J2. That is, the square of the difference between two quantities is equal to the squajre 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 (2a — J)2=4a2 — 4aJ+J2. 2. Form the square of 4ae — be.... | |
 | Charles Davies - 1842 - 368 σελίδες
...(a—b)2=(ab) (ai)=a 2 —2ai+i2: That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of...first by the second, plus the square of the second. Thus, (7o 2 i2—12ai 3 ) 2 =49a 4 i 4 —168a 3 i 6 +144a 2 i 6 . 3d. Let it be required to multiply... | |
 | Charles Davies - 1842 - 284 σελίδες
...(a—b) (a—b)—az~2ab+bz. That is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of...first by the second, plus the square of the second, 1. Form the square of 2a— b. We have (2a—6)2=4o2—4a6+62. 2. Form the square of 4ac—bc. We have... | |
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... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square... 
