 That is, 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.  The Franklin Elementary Algebra - Page 88by Edwin Pliny Seaver, George Augustus Walton - 1881 - 297 pagesFull view - About this book
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...to do so. A PROBLEM is a question proposed for solution; i. a something to be done. TIIEOEEM I. 67. The square of the SUM of two quantities is equal to the square of the first, plus twice lhe product of the first by the second, plus the square of the second. Ex. 1. What is the square of... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...= (a + V) (a + I) ; whence, by actual multiplication, we have That is, (a + bY = a? + 2ab + b2. (1) The square of the sum of two quantities is equal to the square nf the first, plus twice the product of the first by the second, plus the square of the second. 105.... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...following theorems give rise to formulas, useful in abridging algebraic operations. THEOREM I. 76, The square of the sum of two quantities is equal to the tguare of the first, plus twice the product of the first by the second, plus the square of the second.... | |
 | Edward Olney - Algebra - 1880 - 354 pages
...products as they stand, even without first adding the products by a and u. Ч К. D. 85. 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... | |
 | Webster Wells - Algebra - 1880 - 498 pages
...= (a + b) (a + b) ; whence, by actual multiplication, we have That is, (a + b)2 = a2+2ab + b2. (1) The square of the sum of two quantities is equal to the square of the first, plus t1cice the product of the first by the second, plus the square of the second. 105. We may also show,... | |
 | 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.... | |
 | 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... | |
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