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. A Treatise on Algebra - Página 27por George Peacock - 1830 - 685 páginasVista completa - Acerca de este libro
| Silas Totten - 1836 - 320 páginas
...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, and... | |
| 1838 - 372 páginas
...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.... | |
| Charles Frederick Partington - 1838 - 1116 páginas
...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... | |
| Andrew Bell (writer on mathematics.) - 1839 - 500 páginas
...by a+»(31.) 2. Find the square of a — x (179.) It appears from these two examples that — 1The square of the sum of two quantities is equal to the sum of the squares of these quantities and twice their product; and, The square of the difference of two quantities... | |
| Charles Davies - 1839 - 264 páginas
...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.... | |
| Ebenezer Bailey - 1840 - 270 páginas
...20, and b — 8 ; then a + b = 28. a + b ab a2 + ab + ab + Hence it appears, that the second power of the sum of two quantities is equal to the sum of their second powers, increased by twice their product. 19. What is the second power of a — b 1 a... | |
| Charles Davies - 1842 - 284 páginas
...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.... | |
| Charles Davies - 1842 - 368 páginas
...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.... | |
| Admiralty - 1845 - 152 páginas
...quantities, is equal to the difference of the squares of those quantities." From the 2nd of these we see that "The square of the sum of two quantities, is equal to the sum of their squares, plus twice their product." From the 3rd of these we see that "The square of the difference... | |
| Ormsby MacKnight Mitchel - 1845 - 308 páginas
...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.... | |
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