 The square of the difference of two numbers is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second.  Elementary Algebra - Page 109by Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 pagesFull view - About this book
 | William Frothingham Bradbury - Algebra - 1877 - 280 pages
...Ans. 4 *2 4-1? xy + 9 /. 6. Зa + 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 о and b represent the two quantities, and a ]> b ; their dii ference... | |
 | Edward Olney - 1878 - 360 pages
...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 sum and difference of two quantities... | |
 | Edward Olney - Algebra - 1878 - 516 pages
...product of 2 - x and 2 - x ? What are the factors of 4 — 4z + z* ? 24. From these examples, we see that the square of the difference of two numbers is equal to the square of one of them, — twice the product of the two, + the square of the other. Thus (x — y) X (a; —... | |
 | Thomas K. Brown - Algebra - 1879 - 292 pages
...may be more 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.... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...an64 -j- 6 a5 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 the first by the second, plus the square of the second. For, let a represent one of the quantities, and... | |
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...he will 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 the first by the second, plus the square of the second. Ex. 1. Find the square of (a — 6). Analysis.... | |
 | Robert Potts - Algebra - 1879 - 672 pages
...is equal to the sum of the square of the difference and four times the product of the two numbers. The square of the difference of two numbers, is equal to the difference between the square of the sum and four times the product of the numbers. The product of... | |
 | Edward Olney - Algebra - 1880 - 354 pages
...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 sum and difference of two quantities... | |
 | Webster Wells - Algebra - 1880 - 498 pages
...multiplication, that (a - b)2 = a2-2ab + b2. (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. 106. Again, by multiplication, we have (a + b)... | |
 | Edward Olney - Algebra - 1881 - 254 pages
...the product of 2—x and 2 — x? What are the factors of 4— 41. From these examples, we see that the square of the difference of two numbers is equal to the square of one of them, — twice the product of the two, + the tquare of the other. Thus (xy)(xy)=x 2 — 2xy... | |
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