| George Albert Wentworth, David Eugene Smith - Algebra - 1913 - 310 pages
...term of the root is evidently a, because the square of a is a2. Since in squaring a binomial we have the square of the first term plus twice the product of the first and second terms, etc., we have in 2 ab twice the product of a and the second term. We therefore... | |
| William Benjamin Fite - Algebra - 1913 - 304 pages
...This can be expressed in ordinary language as follows : The square of the sum of two terms is equal to the square of the first term plus twice the product of the first by the second, plus the square of the second term. In a similar way the student should form the... | |
| George Wentworth, David Eugene Smith - Algebra - 1913 - 478 pages
...term of the root is evidently a, because the square of a is a2. Since in squaring a binomial we have the square of the first term plus twice the product of the first and second terms, etc., we have in 2 ab twice the product of a and the second term. We therefore... | |
| Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1917 - 344 pages
...gives the formula This may be expressed in words as follows : /. The square of the sum of two terms is the square of the first term plus twice the product of the two terms plus the square of the second term. Similarly, (a - ft)2 = a2 - 2 ab + W, which may be expressed... | |
| Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1918 - 296 pages
...formula . (a+ &)2 = а2 + 2а&+ Ь2. This expressed verbally is : Tlie square of the sum of two terms is the square of the first term plus -twice the product of the two terms plus the square of the second term. II. For the square of the difference of two terms we... | |
| Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1919 - 536 pages
...gives the formula This may be expressed in words as follows : I. The square of the sum of two terms is the square of the first term plus twice the product of the two terms plus the square of the second term. Similarly, (a - 6)" = a2 - 2 ab + V, which may be expressed... | |
| Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1926 - 456 pages
...+ 2 ab + b". This may be expressed in words as follows : (lil The square of the sum of two terms is the square of the first term plus twice the product of the two terms plus the square of the second term. Similarly, (a - b)2 = a2 - 2 ab + ba, which may be expressed... | |
| William Raymond Longley, Harry Brooks Marsh - Algebra - 1926 - 608 pages
...ab + b2. This rule may be stated as follows : Rule. The square of the sum of two terms is equal to the square of the first term, plus twice the product of the two terms, plus the square of the second term. Example. (4 x2 + 3 ?/)2 = 16 x4 + 24 x2y3 + 9 г/6.... | |
| Charles Davies - Algebra - 1891 - 312 pages
...which these squares are formed can be enumerated thus : — The square of any polynomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second; plus twice the sum of the first two terms... | |
| Joseph Ray - Algebra - 1848 - 252 pages
...member of this equation may always be made a perfect square. Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if we consider x2+2px as the first two terms... | |
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