 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 107by Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 pagesFull view - About this book
 | William Freeland - Algebra - 1895 - 328 pages
...square of the second. II. (а-b)2 = а2That is : 63. 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. III. (a + b)(a - &) = a2 - V. That is : 64. The... | |
 | Webster Wells - Algebra - 1897 - 386 pages
...ab - ab + b2 Whence, (a -b)i = a?-2ab + b2. That is, 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. Example. Square 4 x — 5. Wehave, (4x - 5)2 =(4 ж)3 - 2 x ix x 5 +... | |
 | Webster Wells - Algebra - 1897 - 384 pages
...- ab + b2 Whence, (a - b)2 = a2 - 2 ab + b\ That is, 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. Example. Square 4 ж — 5. 80. Let it be required to multiply a + b... | |
 | Webster Wells - Algebra - 1897 - 422 pages
...ab + bг Whence, (a - &)2 = a2 - 2 a& + Ь2. That is, 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. Example. Square 4 x — 5. 80. Let it be required to multiply a + b... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...у) + (б у) 1 2. By actual multiplication, we have (a - 6) 2 = (a - 6)(a - 6) = a j - 2 ab + 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 x... | |
 | George W. Evans - Algebra - 1899 - 456 pages
...product of the two, plus the square of the second. (The identity is (a + ¿)2 = a3 + 2а¿ + 52.) 2. The square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two, plus the square of the second. 3. The square of any polynomial... | |
 | W. H. F. Henry - Questions and answers - 1899 - 440 pages
...Thus, (a + 6)* = (a + 6) (a + 6) =• of + 2a6 + b1. (2) 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. Thus, (a — 6)* = (a — b) (a — 6)=a2— 2a6 +... | |
 | George Egbert Fisher - Algebra - 1900 - 438 pages
...By actual multiplication, we have (a - 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=... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 200 pages
...5y? = (2 xf + 2(2 x)(5 y) + (5 у)2 = 4 ж2 + 20 xy + 25 у2. 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, (3 x... | |
 | George Edward Atwood - 1900 - 276 pages
...second. Hence the following principle : 88. PRINCIPLE. — 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. 89. THIRD FORMULA. — (a + 6)(a - 6) = a2 — 62. Since a represents... | |
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