 | Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...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...of the first, minus twice the product of the first and second, plus the square of the second. III. (a +b)(a — b)—a*-^; hence, Tue product of the sum... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
....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 first, minus twice the product of the first and second, plus the square of the second. 3°. The product of the sum and difference of any two quantities,... | |
 | Lorenzo Fairbanks - 1875 - 472 pages
...is a quantity consisting of two terms, and its square 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. Let 35 be written 30 + 5. Then, squaring this number, by multiplying each part separately, we hare,... | |
 | Charles Mansford - 1875 - 110 pages
...square of the first + 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... | |
 | Benjamin Greenleaf - 1876 - 332 pages
...36a4-f-24a4» + 4a4i2. 4. Square o? & + 3 a2 63 c4. Ans. a6 64 + 6 a5 i5 c4 -f- 9 a4 If c3. THEOREM II. 77, The square of the difference of two quantities is equal...second, plus the square of the second. For, let a repreient one of the quantities, and b the other; then, (a — 6)2 = (a — 6) X (a — 6) = a2 —... | |
 | Charles Davies - Algebra - 1876 - 324 pages
...we have, (a - o)2 = (a - &) (a - o) = a2 - 2ao + ó2. That is, 7%e square of (he difference of any two quantities is equal to the square of the first, minus twice the product of theßrst by the second, plus the square of the second. 1. Find the square of 2a — b. We have, (2a... | |
 | William Frothingham Bradbury - Algebra - 1877 - 280 pages
...4x2+ 8x 3. a; + 1. 4. 4 + *. 5. 2x + 3y. Ans. 4 *2 4-1? xy + 9 /. 6. Зa + 6. THEOREM III. 59. The square of the difference of two quantities is equal...square of the first, minus twice the product of the two, plus the square of the second. Let о and b represent the two quantities, and a ]> b ; their dii... | |
 | Edward Olney - Algebra - 1877 - 466 pages
...За*Ь'-. Result, 25а - " + ЗОаб» + б. Square $aö-« + $a:-'b-'. ßesult, 93, THEO. — Tlœ square of the difference of two quantities is equal to the square of the ßrst, minus twice the product oftheßrut by tlie second, plus Die square of the second. DEM. — Let... | |
 | Benjamin Greenleaf - Algebra - 1877 - 662 pages
...quantities is equal to the square of the first, plus twice the product of the first by the second, plus tlte square of the second. For, let a represent one of the quantities, and i the other ; then, (« + i)' = (a -f- 1) x (a + b) = a2 + 2 ai + V. Hence, the theorem is true. •... | |
 | Edward Olney - 1878 - 360 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...square of the first, minus twice the product of the two, plus the square of the second. 87. THEO. — The product of the sum and difference of two quantities... | |
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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. 
