| James William M'Gauley - 1854 - 284 pages
...algebraic formula [sec. 1, 1], — For, the result of the multiplication may be read as follows : — " **the square of the sum of two quantities is equal to...the sum of their squares, plus twice their product."** And as the given quantities may represent any possible ones, the formula is general. 36. EXAMPLE 2... | |
| G. Ainsworth - 1854 - 216 pages
...difference of their squares. II. (a + b}*=a? + 2ab + b2 ; that is, The square of the sum of two numbers **is equal to the sum of their squares, plus twice their product.** III. (a— b)2=ai— Zab + b2 ; that is, The square of the difference of two numbers is equal to the... | |
| New York (State) School for the deaf, White Plains - 1854 - 936 pages
...gives minus." (b-— 1)=! (If— 1)=(&6— &s)." What is the square of the sum of two quantities T " **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."... | |
| Elias Loomis - Algebra - 1855 - 356 pages
...Ex. 2. Required the square of 3+2 v/5. These two examples are comprehended under the rule in Art. 60, **that 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.... | |
| Elias Loomis - Algebra - 1856 - 280 pages
...theorems are of such extensive application that they should be carefully committed to memory. THEOREM I. **The square of the sum of two quantities is equal to the** square of the first, plus twice the product oj the first by the second, plus the square of the second.... | |
| Joseph Ray - Algebra - 1857 - 408 pages
...following theorems, which may be regarded as the simplest application of Algebra. ART. 78. THEOREM I. — **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.... | |
| James B. Dodd - Algebra - 1859 - 368 pages
...of (a+x) (a— a) 1 What is the Product of (a+5) (a— 5) 1 Of (3+y) (3— y)1 Of (x— 1) (a (59.) **The Square of the sum of two quantities is equal to the sum of** the squares plus twice the product of the two quantities. Thus (a+b) (a+b), that is, the square of... | |
| John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...+ Зааг* —х". .dn«. a'— 2ax+x\ CHAPTER III. THEOREMS AND FACTORING. 0 THEOREM I. ( 1 09.) **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.... | |
| Jeremiah Day - Algebra - 1859 - 422 pages
...certain cases in Multiplication of frequent occurrence, and should be carefully learned. THEOREM I. **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.... | |
| Charles Davies - Algebra - 1860 - 412 pages
...+ b) X (a + b), or performing the multiplication indicated, (a + b)z = <£• + 2ab + 62 ; 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.... | |
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