 | James Mackean - 1881 - 510 pages
...may be much simplified and shortened. I. Multiply а + b by itself. а + b а + b a2+ ob ab + b2 . That is, the square of the sum of two quantities is equal to the sum of the squares of the quantities increased by twice their product. II. Multiply а - b by itself.... | |
 | 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...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 of the... | |
 | Edward Olney - Algebra - 1882 - 358 pages
...partial products as they stand, even without first adding the products by « and 6. QED 83. THEO. — The square of the sum of two quantities is equal to...square of the first, plus twice the product of the two, plus the square of the second. 86. THEO. — The square of the difference of two quantities is... | |
 | Sports - 1909 - 898 pages
...and therefore quite as badly off as you) that the result of a certain algebraic monkey shine equals " the square of the first, plus twice the product of the first by the second," etc., etc. Country Diet After Vacation Nor can you when in town and at work absorb the pumpkin-pie... | |
 | 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.... | |
 | Webster Wells - 1885 - 368 pages
...b -ab-b2 cP+-2ab + b2 a2-2a6 + 62 a2 — 62 In the first case, we have (a+ 6)2 = a2 + 2a6 + b2. (1) That is, the square of the sum of two quantities is...square of the first, plus twice the product of the two, plus the square of the second. In the second case, we have (a — 6)2 = a2-— 2 ab + b2. (2)... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...a+b a6 ab a?+2ab + b2 a2-2a6 + 62 a2 -b2 In the first case, we have (a-)- 6)2 = a2 + 2ab + b2. (1) That is, the square of the sum of two quantities is...square of the first, plus twice the product of the two, plus the square of the second. In the second case, we have (a — 6)2 = a2 — 2 ab + 62. (2)... | |
 | Webster Wells - Algebra - 1885 - 372 pages
...ab + б2 —ab — W a2-2ab + b2 a2 -b2 In the first case, we have («+ b)2 — a2 + ^ab + b2. (1) That is, the square of the sum of two quantities is...square of the first, plus twice the product of the two, plus the square of the second. In the second case, we have (a — 6)2 = a2 — 2 ab + b3. (2)... | |
 | 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... | |
 | Waite A. Schoemaker - Arithmetic - 1887 - 454 pages
...the square of 2. 5. Square 4 + 2, 6 + 3, 2 + 4, 5 + 2. The square of the sum of two numbers equals the square of the first, plus twice the product of the first and second, plus the square of the second. 1. Considering 3% to equal 30 + 2, Process. find its square.... | |
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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. 
