 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 - Side 27av George Peacock - 1830 - 685 siderUten tilgangsbegrensning - Om denne boken
 | Silas Totten - 1836 - 320 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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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