 THEOREM I. 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 37by Elias Loomis - 1846 - 346 pagesFull view - About this book
 | 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... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...6 + c) (d + e +f) signifies that the sum of o, b and c is to be multiplied by the sum of d, e andy. When the multiplication is actually performed, the...to the square of the first, plus twice the product of the first by the second, plus the square of the second. Thus if we multiply a + b By a + b a2 +... | |
 | Algebra - 1847 - 386 pages
...rules for the multiplication of algébrale quantities in the demonstration of the following theorems. THEOREM I. The square of the sum of two quantities is equal to the square of the ßrst, plus twice the product of the ßrst by the second, plus the square of the second. : Let a denote... | |
 | Charles Davies - Algebra - 1848 - 302 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. 1. Form the square of 2a+3b. We have from... | |
 | Charles Davies - Algebra - 1848 - 300 pages
...to form the square or second power of the binomial (a+i). We have, from known principles, That is, the square of the sum of two quantities is equal to the square of the jlrst, plus twice the product of the first by the second, plus the square of the- second. 1. Form the... | |
 | Algebra - 1848 - 394 pages
...rules for the multiplication of algebraic quantities in the demonstration of the following theorems. THEOREM I. The square of the sum of two quantities is equal to the squarg vf the first, plus twice the product of the first by the second, plut the square of the second.... | |
 | Rufus Putnam - Arithmetic - 1849 - 402 pages
...+ 3)*. From these examples and illustrations, wo see that the square of the sum of any two numbers is equal to the square of the first, plus twice the product of the first into the second, plus the square of the second. 5. Find by this method the square of4-f-3;... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...prove the following theorems, which may be regarded as the simplest application of Algebra. ART. 78. THEOREM I. — The square of the sum of two quantities...to the square of the first, plus twice the product of the first by the second, plus the square of the second. Let a represent one of the quantities, and... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...the product will be o2+2a6+62 ; thus : a+b But a-\-b is the sum of the quantities, a and b : hence THEOREM I. The square of the sum of two quantities,...to the square of the first, plus twice the product of the first by the second, plus thz square of the second. EXAMPLES. NOTE. — The instructor should... | |
 | Jeremiah Day - Algebra - 1854 - 428 pages
...relate to certain cases in Multiplication of frequent occurrence, and should be carefully learned. THEOREM I. The square of the Sum of two quantities...to the square of the first, plus twice the product of the jirst and second, plus the square of the second. This may be expressed algebraically thus, (a+b)3=a3+2ab+b3,... | |
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