 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.  New University Algebra - Page 36by Horatio Nelson Robinson - 1875 - 412 pagesFull view - About this book
 | Joseph Ray - Arithmetic - 1880 - 420 pages
...operations illustrate the following principle : PRINCIPLE. — 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. Thus : Show by involution, that : \. (5)2 equals 25.... | |
 | Charles Scott Venable - Algebra - 1880 - 168 pages
...expresses in algebraic language the following Rule. — The square of the sum of two quantities is the square of the first, plus twice the product of the first by (he second, plus the square of the second. Ex. 1. (ж + 5)' = x' + Wx + 25. Ex. 2. (За + 20)'... | |
 | Edward Olney - Algebra - 1881 - 506 pages
...also (m+n)(m+n) — (m— n)(m— n). Last result, 4ww. THEEE IMPORTANT THEOREMS. .94. Theorem. — The, square of the sum of two quantities is equal...square of the first, plus twice the product of the two, plus the square of the second. Demonstration. — Let x be any one quantity and y any other. The... | |
 | James Mackean - 1881 - 510 pages
...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.... | |
 | William James Milne - Algebra - 1881 - 360 pages
...The square of Oie difference of two quantities is equal to the square of the first quantity, minus twice the product of the first and second, plus the square of f/ie second. EXAMPLES. Write out the products or powers of the following: 13. (a — c)(a — c). 14.... | |
 | 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...the first and second, plus the square of the second. Likewise we learn that which means that the square of the difference of two quantities is equal to... | |
 | 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... | |
 | 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. 8. What... | |
 | 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... | |
 | John Henry Walsh - Algebra - 1903 - 288 pages
...ж2 and г/2 are the squares of x and y, respectively, and that 2xy is twice the product of x and y. The square of the sum of two quantities is equal to the square of the first, plus ticice the product of the first and the second, plus the square of the second. Any expression in the... | |
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