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 - Page 27by George Peacock - 1830 - 685 pagesFull view - About this book
| Silas Totten - Algebra - 1836 - 320 pages
...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... | |
| Algebra - 1838 - 372 pages
...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 - Encyclopedias and dictionaries - 1838 - 1116 pages
...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 pages
...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 - Algebra - 1839 - 264 pages
...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 - Algebra - 1840 - 270 pages
...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 - Algebra - 1842 - 284 pages
...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 - Algebra - 1842 - 368 pages
...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 pages
...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 - Algebra - 1845 - 308 pages
...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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