 | David Martin Sensenig - Algebra - 1890 - 556 pages
...(а + Ь) = аг + 2ab + b*. Therefore, Prin. 1. — The square of the sum of two quantities equals the square of the first, plus twice the product of the two, plus the square of the second. 113. The square of the difference of a and Ъ, or (a - Vf = (a - I) (a - b) = a* - 2 а Ь + У. Therefore,... | |
 | Webster Wells - Algebra - 1890 - 560 pages
...This formula is the symbolical statement of the following rule : The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. In the second case, (a -6)2 = a1-2ab + 62. (2)... | |
 | John Kelley Ellwood - Algebra - 1892 - 312 pages
...quantities is equal to the difference of the quantities, or (A2 - B2) .î. s = d. The square of the sum of two quantities is equal to the square of the first, plus the square of the second, plus twice the product of the two, or s2 = A2 + B. + 2p. The square of the... | |
 | John Kelley Ellwood - Algebra - 1892 - 300 pages
...of the second, plus twice the product of the two, or e2 = A2 + BP + 2p. The square of the difference of two quantities is equal to the square of the first, plus the square of the second, minus twice the product of the two, or d' = A2 + Б2 — 2 p. The product... | |
 | Eugene L. Dubbs - Arithmetic - 1893 - 244 pages
...squaring numbers less than 100, by using an algebraic theorem : " The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the seccond, plus the square of the second." Square 45 by the theorem (45= 40+ 5). 4<D 2 =... | |
 | John Henry Walsh - 1893 - 426 pages
...numbers is 49. What are the numbers? AFFECTED QUADRATICS. 1238. Preliminary Exercises. The square of the sum of two quantities is equal to the square of the first + twice the product of the first and the second + the square of the second. The square of the difference... | |
 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1894 - 166 pages
...+ b* a' + 2 ab + b* From this we deduce the following THEOREM. The square of the sum of two numbers is equal to the square of the first, plus twice the...product of the two, plus the square of the second. According to this theorem find the square of 1. x + y. 8. 3x + 5y. 2. x + 1. 9. 2 x + 3 y. 3. x + 2.... | |
 | William James Milne - Algebra - 1894 - 216 pages
...second term obtained ? The third term ? 2. What signs have the terms ? 59. PRINCIPLE. The square of the sum of two quantities is equal to the square of the first quantity, plus twice the product of the first and second, plus the square of the second. Write out... | |
 | William Freeland - Algebra - 1895 - 328 pages
...three following theorems are useful in the multiplication of binomials. That is : 62. 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. II. (а-b)2 = а2That is : 63. The square of the... | |
 | George Washington Hull - Algebra - 1895 - 358 pages
...86. A Composite Quantity is the product of two or more quantities. PRINCIPLE I. The square of the mm 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. Thus, by multiplication, a + b a + b a1 + ab + ab... | |
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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 multiplied by the second, plus the square of the second. 
