 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
 | John Appley Ferrell - Arithmetic - 1901 - 432 pages
...illustrative of 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 times the second plus the square of the second. By referring to the two numbers as 1st and 2d, this... | |
 | James Harrington Boyd - Algebra - 1901 - 812 pages
...Theorem III, is the fraction itself. 402. THEOREM V. — The square of the sum of two quantities is the square of the first plus twice the product of the first by the second plus the square of the second. By multiplying a -(- b by itself it is found that (a -\-... | |
 | Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...THEOREMS AND DETACHED COEFFICIENTS 164. Theorem 1. 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. Dem. Let x + a be the sum of two quantities, then (a; + a)2 = з? + 2xa + a2, by actual multiplication.... | |
 | William James Milne - Algebra - 1902 - 620 pages
...— The square of the difference of tiro numbers ?.s equal to tJie square of the first number, minus twice the product of the first and second, plus the square of the second. EXAMPLES Expand by inspection : 1. (x—m)(x — m). 10. (2 a -a:)5. 19. (3z-2)J. 2. (m — »i)(m... | |
 | George Edward Atwood - Arithmetic - 1902 - 168 pages
...62. PRINCIPLE. — The square of the difference of two quantities is the square of the first, minus twice the product of the first and second, plus the square of the second. Since a represents any quantity and 6 any less quantity, a + 6 represents the sum and a — b the difference... | |
 | Emerson Elbridge White - Algebra - 1902 - 104 pages
...squares. (a + t)2 = (a + 6) (a + 6) = a2 + 2 a6 + 62 ; hence the square of the sum of two numbers is the square of the first, plus twice the product of the first multiplied ly the second, plus the square of the second. Thus, ('2a; + y)2 = 4 a;2 + 4 xy + yz. Write... | |
 | John William Hopkins, Patrick Healy Underwood - Arithmetic - 1903 - 578 pages
...Let AL = a, .-. (a + 6) 2 = a 2 + £ 2 + 2 ab. Hence, we have the following important conclusion : The square of the sum of two numbers equals the square of the first number plus the square of the second number plus twice the product of the two numbers. ( •, ) 345.... | |
 | John Henry Walsh - Algebra - 1903 - 564 pages
...and that 2xy is twice the product of ж and y. The square of the sum of two quantities is eqnal to the square of the first, plus twice the product of the first and the second, plus the square of the second. Any expression in tha form of ж2 + 2xy + y? is composed... | |
 | John Henry Walsh - Algebra - 1903 - 528 pages
...difference of the quantities. The quotient consists of three terms, namely : the square of the first, plus the product of the first and second, plus the square of the second. ( a a + J3-J -,_ (a + ^ = ft2 _ ab + Ъ 2 Give a general statement for the quotient obtained by dividing... | |
 | George Washington Hull - Algebra - 1904 - 172 pages
...product of two or more quantities. PRINCIPLE 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. Thus, by multiplication, a + b a + b а2+ aft + aft + ft2 Also, (m + n)2= m2 + 2mn,+ n2. And, (2a +... | |
| |
