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" 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 102
των Walter Burton Ford, Charles Ammerman - 1919 - 334 σελίδες
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Gradiations in Algebra: In which the First Principles of Analysis are ...

Richard W. Green - 1839 - 148 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...

American Common-school Arithmetic ...

Rufus Putnam - 1849
...+ 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...

The Common-school Arithmetic: a Practical Treatise on the Science of Numbers

Dana Pond Colburn - 1858 - 276 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,...

Elementary algebra: with brief notices of its history

Robert Potts - 1879
...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...

Elementary algebra, with brief notices of its history

Robert Potts - 1879
...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...

Text-book of Algebra: With Exercises for Secondary Schools and Colleges, Μέρος 1

George Egbert Fisher, Isaac Joachim Schwatt - 1898 - 683 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,)'...

Text-book of Algebra: With Exercises for Secondary ..., Μέρος 1,Τεύχος 1898

George Egbert Fisher, Isaac Joachim Schwatt - 1898 - 683 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...

Algebra for Schools

George W. Evans - 1899 - 433 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...

Rudiments of Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 183 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...

Secondary Algebra

George Egbert Fisher - 1900 - 397 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...




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