 That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number.  First Course in Algebra - Σελίδα 98των Walter Burton Ford, Charles Ammerman - 1919 - 334 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Richard W. Green - 1839 - 156 σελίδες
...difference. a—b a—b a3 — ab —ab+b3 a3— 2ab+b3 Therefore, the square of the difference of two numbers, is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second. §174. The only difference between the square of the sum, and... | |
 | Rufus Putnam - 1849 - 402 σελίδες
...+ 5)*; (3 + 2)*; (5 + 3)*. From these examples and illustrations, wo see that the square of the sum of any two numbers is equal to the square of the first, plus twice the product of the first into the second, plus the square of the second. 5. Find by this... | |
 | Dana Pond Colburn - 1858 - 288 σελίδες
...surn of twice the first plus the second, by the second, it follows that — (m.) The square of the sum of any two numbers is equal to the square of the first number plus the product of two factors, one of •which is the sum of twice the first number plus the second,... | |
 | Robert Potts - 1879 - 672 σελίδες
...1+2-5-4 + 6 of the squares of the two numbers together with twice their product. (See Eue. ii. 4.) (2) The square of the difference of any two numbers, is equal to the difference between the sum of their squares and twice their product. (3) The product of the sum and... | |
 | Robert Potts - 1879 - 668 σελίδες
...1+2-5-4 + 6 of the squares of the two numbers together with twice their product. (See Eue. ii. 4.) (2) The square of the difference of any two numbers, is equal to the difference between tho sum of their squares and twice their product. (3) The product of the sum and... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1898 - 714 σελίδες
...multiplication, we have (a - 6)2 = (a - 6)(a - 6) = a" - 2ab + If. That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number. Eg, (3 * - 7 y)' = (3 *)• - 2 (3 x) (7 y) + (7 3,)'... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1898 - 712 σελίδες
...multiplication, we have (a - 6)J = (a - 6)(a - A) = a1 - 2 ab + 6s. That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the tico numbers, plus the square of the second number. Kg., (3 * - 7 y)» = (3 x)' - 2 (3 x) (7 y) + (7... | |
 | George W. Evans - 1899 - 458 σελίδες
...the square of the second. (The identity is (a + by=a* + 2ab + tf.) 2. The square of the difference of two numbers is equal to the square of the first number,...product of the two, plus the square of the second. 3. The square of any polynomial is equal to the sum of the squares of the separate terms, added to... | |
 | George Egbert Fisher - 1900 - 438 σελίδες
...6)3 = (a - 6) (a - 6) = a2 - ab - ba + 62 = a2 - 2 ab + 62. That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number. Eg, (3x-7yf= (3 xf - 2 (3 ж) (7 y) + (7 yf = 9 ж2... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 202 σελίδες
...?,)2 = 4ж2 + 20да/ + 3. By actual multiplication, we have That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number. Eg, (3x-7yf = (3 xf -2(3 x)(7 y) + (7 y? 4. We have... | |
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