 | Stephen Chase - Algebra - 1849 - 348 pages
...have (a+6) 2 = (a+J) (a+J) = a2+2ab+b2. That is, THEOREM I. The square of the sum of two numbers i> equal to the square of the first, plus twice the product of tlte Jirst by the second, plus the square of the second. Or, more briefly, The square of the sum of... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...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, is equal...twice the product of the first by the second, plus thz square of the second. EXAMPLES. NOTE. — The instructor should read each of the following examples... | |
 | Jeremiah Day - Algebra - 1854 - 428 pages
...certain cases in Multiplication of frequent occurrence, and should be carefully learned. THEOREM I. The square of the Sum of two quantities is equal to...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,... | |
 | James William M'Gauley - 1854 - 284 pages
...algebraic formula [sec. 1, 1], — For, the result of the multiplication may be read as follows : — " the square of the sum of two quantities is equal to the sum of their squares, plus twice their product." And as the given quantities may represent any possible... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...theorems are of such extensive application that they should be carefully committed to memory. THEOREM I. The square of the sum of two quantities is equal to the square of the first, plus twice the product oj the first by the second, plus the square of the second. Thus, if we multiply a +b by a +b a'+ ab... | |
 | Charles Davies - Algebra - 1857 - 408 pages
...(a + b)2 = (a + b) X (a + b), or performing the multiplication indicated, (a + b)2 = a2 + 2a6 + b2 ; that is, The square of the sum of two quantities is...plus twice the product of the first by the second, plui the square of the second. To apply this formula to finding ' the square of the binomial 5a2 +... | |
 | Jeremiah Day - Algebra - 1859 - 422 pages
...certain cases in Multiplication of frequent occurrence, and should be carefully learned. THEOREM I. The square of the Sum of two quantities is equal to...of the first, plus twice the product of the first and second, plus the square of the second. This may be expressed algebraically thus, (a+b)3 =a3 +2ab+b3... | |
 | Charles Davies - Algebra - 1859 - 324 pages
...a + b, we have, (a + b)' = (a + b) (a + b) = a' + <¿ab + b\ That is, The square of the sum of any two quantities is equal to the square of the first, plus twice the product of the first by (he second, plus the square of the second. 1 . Find the square of 2a + 3o. We have from the role. (2a... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...of (a+x) (a— a) 1 What is the Product of (a+5) (a— 5) 1 Of (3+y) (3— y)1 Of (x— 1) (a (59.) The Square of the sum of two quantities is equal to the sum of the squares plus twice the product of the two quantities. Thus (a+b) (a+b), that is, the square... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...operations, the results which follow: I. (a+b)'=(a+u) (a+b')=a>+2ab+bt Or, expressing the result in words, The square of the sum of two quantities is equal to...of the first, plus twice the product of the first and second, plus the square of the second. II. (a— b)'=(a— ¿) (a— b)=a'— 2ab+b* Or, in words,... | |
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The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second. 
