 | Charles Davies - Algebra - 1889 - 330 pages
...the sum of <M the other terms. Hence, its square, which is the given polynomial, will be made up of the square of the first term, plus twice the product of the first term by the sum of all the other terms, plus the square of the sum of all the other terms (Art. 106).... | |
 | Webster Wells - Algebra - 1890 - 604 pages
...statement of the following rule : 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. In the second case, (ab)2 = a?-2ab + bi. (2) That is, the square of the difference of two numbers is... | |
 | Charles Scott Venable - 1890 - 170 pages
...expresses the Rule : — Tfte square of the difference of two quantities is the square of the first, minus twice the product of the first by the second, plus the square of ike second. Ex. 1. (x - 5)' =x' — lOx + 25. Ex. 2. (Зa - 2o)2 = (Зa)2 - 2 x Зa x 2b + (Щ' =•... | |
 | Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...right. Since the square of a number divided into any two parts is equal to the square of the first part, plus twice the product of the first by the second, plus the square of the second part (423), having found the square of the first part, which is 4900, the remainder 517 must be equal... | |
 | Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...right. Since the square of a number divided into any two parts is equal to the square of the first part, plus twice the product of the first by the second, plus the square of the second part (423), having found the square of the first part, which is 4900, the remainder 517 must be equal... | |
 | Asa Hollister Craig - Examinations - 1897 - 538 pages
...of any letter in the product is equal to the sum of the exponents of this letter m the factors. 40. The square of the first term, plus twice the product of the first and the second, plus the square of the second if both terms are positive; if, however, the binomial... | |
 | Wallace Clarke Boyden - Algebra - 1894 - 186 pages
...the terms of the dividend. 2. That the quotient is the square of the first term of the divisor, plus the product of the first by the second, plus the square of the second. Write two factors, one of which is the difference of the cube roots of the terms/ and the other the... | |
 | William Freeland - Algebra - 1895 - 328 pages
...binomials. That is : 62. 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. II. (а-b)2 = а2That is : 63. The square of the difference of two quantities is equal to the square... | |
 | Adelia Roberts Hornbrook - Geometry - 1895 - 224 pages
...in all ? PRINCIPLE 51. — The square of the sum, of two lines is equal to the square of the first plus twice the product of the first by the second plus the square of the second. 29. Draw the square of the sum of two lines, one 5 inches, the other 3 inches, and show the truth of... | |
 | Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...right. Since the square of a number divided into any two parts is equal to the square of the first part, plus twice the product of the first by the second, plus the square of the second part (§ 734), having found the square of the first part, which is 4iH)0, the remainder 517 must be... | |
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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. 
