| George Peacock - Algebra - 1830 - 732 pages
...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 of... | |
| 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...the sum of their squares plus twice their product.** Let a and b be the quantities, then a -fb is theipsum, and we have, . . This property admits of like... | |
| Robert Mudie - Mathematics - 1836 - 542 pages
...general expression, or by numbers for any given particular case. Therefore, we may state generally, **that the square of the sum of two quantities is equal to** four times the product of the quantities, together with the square of their difference. Thus if a is... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...general expression, or by numbers for any given particular case. Therefore, we may state generally, **that the square of the sum of two quantities is equal to** four times the product of the quantities, together with th"e square of their difference. Thus if a... | |
| Charles Frederick Partington - Encyclopedias and dictionaries - 1838 - 1116 pages
...them 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... | |
| 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.... | |
| 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 — I,... | |
| 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.... | |
| |