 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...times the difference between x and y. Given two numbers, a and b, write in algebraic language : 37. The square of the first number, plus twice the product of the two numbers, plus the square of the second number. 38. The cube of the first number, plus three times... | |
 | John Henry Walsh - Arithmetic - 1899 - 260 pages
...by 20 20" + 20 x 5 Multiplying by 5 20 x 5 + 5' 202 + 2(20 xo) + 5» = 400 + 200 + 25 = 625. 1032. The square of the sum of two numbers is equal to the square of the first + twice the product of the first by the secpnd + the square of the second. 132 =• (10 + 3)' = 102+2(10x3)+32... | |
 | George W. Evans - Algebra - 1899 - 456 pages
...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... | |
 | George Egbert Fisher - Algebra - 1899 - 506 pages
...multiplication, we have (a - b)- = (ab)(a- b}= a2 - tab + b2. 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-7y)*= (3... | |
 | John Marvin Colaw, John Kelley Elkwood - Arithmetic - 1900 - 450 pages
...33. (if + 7) (x" - 7). 35. (m - n) (m - n). 34. (c + 4d) (U + c). 36. (x + 4) (x + 5). 37. Show that the square of the sum of two numbers is equal to the...of the first number, plus twice the product of the two numbers, plus the square of the second number. 38. Square a + b and a — b, and compare the results.... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 200 pages
...actual multiplication, we have (a + 6)2 = (a + 6)(a + 6) = a2 + ab + bа + b2 = a2 + 2 ab + 6J. That is, the square of the sum of two numbers is equal to the...of the first number, plus twice the product of the two numbers, plus the square of the second number. Eg, (2x + 5y? = (2 xf + 2(2 x)(5 y) + (5 у)2 =... | |
 | George Egbert Fisher - Algebra - 1900 - 438 pages
...actual multiplication, we have (a + b)z=(a + 6) (a + 6) = a2 + ab + ba + 6» = o3 +2 ab + б». That is, the square of the sum of two numbers is equal to the...of the first number, plus twice the product of the two numbers, plus the square of the second number. Eg, (2 x + 5 y)2 = (2 xf + 2(2 *)(5 y) + (5 3/)'... | |
 | George Egbert Fisher - 1900 - 444 pages
...(a - 6)2= (a - b)(a - 6) = a2- a6 - 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. 4. Observe that this... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 202 pages
...?,)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... | |
 | William James Milne - Algebra - 1901 - 462 pages
...the sum of two numbers obtained from the numbers ? 3. What signs have the terms ? 91. PRINCIPLE. — The square of the sum of two numbers is equal to the...first number, plus twice the product of the first and second, plus the square of the second. Since 5 a? x 5 a3 = 25 a«, 3 a465 x 3 a4o5 = 9 a86w, etc.,... | |
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That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number. 
