 The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.  New University Algebra - Página 36por Horatio Nelson Robinson - 1875 - 412 páginasVista completa - Acerca de este libro
 | George Peacock - 1830 - 732 páginas
...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 - 1835 - 378 páginas
...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... | |
 | 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,... | |
 | 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...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 - 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 second. 2°. That... | |
 | 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...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) - 1839 - 368 páginas
...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 - 1840 - 264 páginas
...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... | |
 | 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...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... | |
 | 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...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 5o 2 +8a 2 i, we have, from... | |
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