 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.  High School Algebra Complete - Page 88by Marquis Joseph Newell - 1920 - 401 pagesFull view - About this book
 | New York (State) School for the deaf, White Plains - 1854 - 936 pages
...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." (la— 5Z>)S= what! " (la— 5Z>)3= 49as— 70ab+25b\"... | |
 | Dana Pond Colburn - Arithmetic - 1855 - 396 pages
...the first number by the second, and b2 equals the square of the second ; The square of the sum of any two numbers equals the square of the first, plus twice the product of the first by the second, plus the square of the tecond. Illustrations. (7 + 5)2 = 72 + 2 X 7 X 5 + 52 = 49 +... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...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. Ex. 3. Required the cube of ^/x+3^/y. Ex. 4. Required... | |
 | Dana Pond Colburn - Arithmetic - 1856 - 392 pages
...the first number by the second, and b2 equals the square of the second ; The square of the sum of any two numbers equals the square of the first, plus twice the product of the first by the second, plus the square of the tecond. Illustrations. (7 + 5)2 = 72 + 2 X 7 X 5 + S2 = 49 +... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...II. (66.) The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first and second, plus the square of the second. Thus, if we multiply a —b by a —b a'- ab - ab+b' we obtain the product a'— 2ab+b'. QUEST. —... | |
 | Joseph Ray - Algebra - 1857 - 408 pages
...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. Let a represent one of the quantities, and b the other... | |
 | Dana Pond Colburn - Arithmetic - 1858 - 388 pages
...the first number by the second, and b2 equals the square of the second ; The square of the sum of any two numbers equals the square of the first. plus twice the product of the fast by the second, plus the square of the lecond. Illustrations. (7 + 5)2 = T- + 2 X 7 X 5 + 52 =... | |
 | Jeremiah Day - Algebra - 1859 - 422 pages
...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. This may be expressed algebraically thus, (a+b)3 =a3 +2ab+b3 , where a and b represent the two quantities,... | |
 | Silas Lawrence Loomis - Arithmetic - 1859 - 324 pages
...Repeat Prin. 1 . Illustration. Inf 356. PRIN. 2. — THE SQUARE or 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. NOTE. — This principle demands close attention. ILLUSTRATION.... | |
 | Charles Davies - Algebra - 1859 - 324 pages
...(a + b) (a + b) = a' + <¿ab + b\ That is, 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 (he second, plus the square of the second. 1 . Find the square of 2a + 3o. We have from the role.... | |
| |
