 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.  The Franklin Elementary Algebra - Page 88by Edwin Pliny Seaver, George Augustus Walton - 1881 - 297 pagesFull view - About this book
 | 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... | |
 | Charles Davies - Algebra - 1835 - 378 pages
...principles, (a+by=(a+b) (a+b)=a3+'2ab+b3. That is, the square of the sum of two quantities is composed of 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 5a3+8a3i, we have, from what... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | 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...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, we have, from... | |
 | 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 second. 2°. That... | |
 | 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...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 the rule (2a... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...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 have,... | |
 | Charles Davies - Algebra - 1840 - 264 pages
...to form the square or second power of the binomial (a+6). We have, from known principles, That is, the square of the sum of two quantities is equal to...square of the first, plus twice the product of the frst by the second, plus the square of the second. 1. Form the square of 2a+3J. We have from the rule... | |
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