 | Horatio Nelson Robinson - 1868 - 430 pages
...second, plus the 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 - 264 pages
...+ y2. 2. 2x + 2y. Ans. 4 a;2 3. x+ 1. 4. 4 + a;. 5. 2x + 3y. Ans. 4z2-f6. 3a + 6. 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 6 represent the two quantities,... | |
 | Robert Wallace - 1870 - 164 pages
...Iheorem for 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
...the square of the 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)... | |
 | Joseph Ray - Algebra - 1866 - 420 pages
...a2+2afi+&2 the theorem. APPLICATION. 1. (2+5)2=4+20+25=49. 2. (2m+3n)2=4m2-f I2wm+9n2. 79. 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. Let a represent... | |
 | James Haddon - Algebra - 1871 - 244 pages
...of two quantities is equal to the и«.'» of their squares, together with twice their product. 2. The square of the difference of two quantities is equal to ' the sum of their squares, diminished by twice their product. 3. The product of the sum and difference of... | |
 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...4. What is the 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... | |
 | Edward Olney - Algebra - 1873 - 354 pages
...square of the 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... | |
 | Joseph W. Wilson - Algebra - 1873 - 268 pages
...multiplying a fl2 , ^~ + 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... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...and second, plus the square of the second. II. (a — b)*=(a—b)(a — b) = a*—2ab + & ; hence, 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. III. (a +b)(a — b)—a*-^;... | |
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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 by the second, plus the square of the second. 
