 | Horatio Nelson Robinson - 1868 - 430 pages
...square of the second. II. (a— l)'=(a— ¿) (a— i) = a'— ïab+V Or, in words, 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, phis the square of the second. III. (a+l) (a_b)=a«_... | |
 | William Frothingham Bradbury - Algebra - 1868 - 270 pages
...4. 4 + a:. 5. 2x-\-3y. Ans. 4 a:2 +12 xy -\- 9 #2. AQ r» _J_ A THEOREM III. 59. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second. Let a and b represent the two quantities,... | |
 | Robert Wallace - 1870 - 164 pages
...finding the square of the difference of any two quantities is deduced. THEOREM II. — The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. EXAMPLES. 1. 2.... | |
 | Benjamin Greenleaf - Algebra - 1871 - 412 pages
...second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. Also, (a _|- 5)... | |
 | Edward Olney - Algebra - 1873 - 354 pages
...first, plus twice the product of the two, plus the square of the second. 86. THEO. — The square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second. 87. THEO. — The product of the... | |
 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...square of c + 3 ? 5. What is the square of 3 + a*? Ans. 9+6ai + at. Theorem, II. 114. The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. • For, let a and... | |
 | Joseph W. Wilson - Algebra - 1873 - 268 pages
...b by itself, we have what the theorem ' ab + V states. as + 2 ab + b2 Theorem II. 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. a — b PROOF. Let... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...second. 2°. The square of the difference of any two quantities, is equal to the square of the first, minus twice the product of the first and second, plus the square of the *ec,md. The method of applying these principles is shown in the following EXAMPLES. 1. Let it he... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...principles : 1°. The square of the sum of any 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. 2°. The square of the difference of any two quantities, is equal to the square of the... | |
 | Charles Mansford - 1875 - 110 pages
...+ twice the product of two quantities + the square of the second. And from (ii.) The square of the difference of two quantities is equal to the square of the first — twice the product of the quantities + the square of the second. Twice Sq. of Sq. of first. the... | |
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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. 
