 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...difference. By actual multiplication we learn that (A + B) 2 =(A + B)(A + B)'=A l + 2AB + B\ which means that the square of the sum of two quantities is equal to...square of the first, plus twice the product of the first and second, plus the square of the second. Likewise we learn that which means that the square... | |
 | 1882 - 328 pages
...theorem? 4. What is a factor? 5. What is a co-efficient? 6. Prove that 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 the second plus the square of the second. 7. Show that — 2a subtracted from 3a leaves 5a.... | |
 | James Bates Thomson - Algebra - 1884 - 334 pages
...31. Expand (x + y + z] (:;• + y + 0). THEOREMS AND FORMULAS. 101. THEOREM i. — The Square of flic Sum of two quantities is equal to the square of the first, plus twice their product, plus the square of the second. i. Let it be required to multiply a+ b into itself. ANALYSIS.... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1885 - 412 pages
...multiplication we have =o2 — 2a¿> + 62 (2). These results are embodied in the following rules : RULE 1. The square of the sum of two quantities is equal to the sum of their squares increased by twice their product. RULE 2. The square of the difference of two... | |
 | Algebra - 1888 - 492 pages
...multiplication that are important on account of their frequent occurrence in algebraic operations. 85. I. The square of the sum of two quantities is equal to...square of the first, plus twice the product of the first by the second, plus the square of the second. Thus, (x + y)2 = ж2 + 2xy + y2. (x + 3)2 = ж2... | |
 | John Bernard Clarke - Algebra - 1889 - 566 pages
...numbers expressing the degree of the two original polynomials. K 42 MULTIPLICATION. 69. Theorem.—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. Let m and n represent any two quantities. Then m-\-n... | |
 | Charles Davies - Algebra - 1889 - 330 pages
...translated as follows, since x and y are any quantities whatever : 1. The square of the sum of any two quantities, is equal to the square of the first, plus twice the product of first and second, plus t/ie square of the second. '2. The square of the difference of any two quanti... | |
 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 444 pages
...demonstrate the following important theorems. THEOREM I. 85. The. square of the sum of two numbers is equal to the square of the first, plus twice the product of Hie two, plus the square of the second. PROOF. Let a and b represent any two numbers. Their sum will... | |
 | 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)... | |
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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 by the second, plus the square of the second. 
