 THEOREM I. 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 - Pàgina 37per Elias Loomis - 1846 - 346 pàginesVisualització completa - Sobre aquest llibre
 | George Peacock - 1830 - 732 pàgines
...other. This is the square of a + b (Art. 11), and the result may be expressed in words, as follows : " The square of the sum of two quantities is equal to the sum of the squares of the two quantities, together with twice their product.1"* (2) To find the square... | |
 | Silas Totten - 1836 - 320 pàgines
...4a6a) x (7asb + 4a62) = 49a«6s — 16а»ЬЧ The following properties are also of great use : — 1. The square of the sum of two quantities, is equal to the sum of their squares plus twice their product. Let a and b be the quantities, then a -fb is theipsum,... | |
 | 1838 - 372 pàgines
...to form the square or second power of the binomial, (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,... | |
 | Charles Frederick Partington - 1838 - 1116 pàgines
...will be useful exercises. It is required to prove 1°. That (a + 6) (n + b) = os + lab + 63 ; or, that the square of the sum of two quantities is equal to the square of the first quantity, plus the square of the second, plus twice the product of the first and second. 2°. That... | |
 | Charles Davies - 1839 - 264 pàgines
...to form the square or second power of 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 product of the first by the second, plus the square of the second. 1. Form the square of 2a+36. We have from... | |
 | Bourdon (M., Louis Pierre Marie) - 1839 - 368 pàgines
...or second power of the 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... | |
 | Charles Davies - 1842 - 368 pàgines
...the binomial, (a-\-b). We have, from 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 product of the first by the second, plus the square of the second. Thus, to form the square of 5o 2 +8a 2 i,... | |
 | Charles Davies - 1842 - 284 pàgines
...to form the square or second power of the 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 product of the first by the second, plus the square of the second. 1. Form the square of 2a+36. We have from... | |
 | Charles Davies - 1845 - 382 pàgines
...rules for the multiplication of algebraic quantities in the demonstration of the following theorems. THEOREM I. The square of the sum of two quantities...to the square of the first, plus twice the product of the first by the second, plus the square of the second. Let a denote one of the quantities and l1... | |
 | Ormsby MacKnight Mitchel - 1845 - 308 pàgines
...14a26c5+14a62c5— 3a2ce— 7 16. Multiply a+6 by a+b. The product is a2+2a6-}-62; from which it appears, that 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. 17. Multiply a — b by a — b. The product... | |
| |
