 | 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,... | |
 | Benjamin Greenleaf - Algebra - 1875 - 338 pages
...a"64+6a5J5c4 + 9a4isc». THEOREM II. IT, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by th» second, plus the square of the second. For, let a represent one of the quantities, and 6 the other... | |
 | William Guy Peck - Algebra - 1875 - 348 pages
...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,... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...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*-^; hence, Tue product of the sum... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...65 с4 -f- 9 a4 i3 с3. THEOREM II. 77, The square of the difference of two quantities is equal to the square of the first, minus twice the product of...first by the second, plus the square of the second. For, let a represent one of the quantities, and b the other; then, (a — by = (a — i) X (a — b)... | |
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...have the expansion required* THEOKEM H. 68. The square of the DIFFERENCE of two quantities is equal to the square of the first, minus twice the product of...first by the second, plus the square of the second. Ex. 1. Find the square of (a — 6). Analysis. Here a and 6 are the two quantities, and OPERATION (a... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...as 62 + 3 a2 6s c4. Ans. THEOREM II. 77. 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 tfte second. For, let a represent one of the quantities, and 6 the other; then, (a — 6)a = (a —... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...operations. THEOREM I. 76. The square of the sum of two quantities is equal to the tquare of the first, plus twice the product of the first by the second, plus the square of the second. Define a Formula. What is Theorem I. ? For, let a represent one of the quantities, and b the other;... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...a? + 2ab + b2. (1) The square of the sum of two quantities is equal to the square nf the first, plus twice the product of the first by the second, plus the square of the second. 105. "We may also show, by multiplication, that (a — 6)2 = a2 — 2 ab + b2. (2) That is, The square... | |
 | Thomas K. Brown - Algebra - 1879 - 292 pages
...briefly expressed thus : 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. 76. What is the product of a + b and a - b ? OPERATION.... | |
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... 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... 
