 | John Henry Walsh - Arithmetic - 1895 - 480 pages
...Multiplying by 20 20s + 20 x 5 Multiplying by 5 20 x 5 +5' 20* + 2(20x5) + 5' = 400 + 200 + 25 = 625. 1032. The square of the sum of two numbers is equal to the uquare of the first + twice the product of the first by the second + the square of the second. 13'... | |
 | George Albert Wentworth - Algebra - 1896 - 302 pages
...6. 13. 2ab— 5b2 by 3a* — 4a6. a2 -62 From (1) we have (a + 6)2 = a2 + 2ab + b\ That is, 74. î%e square of the sum of two numbers is equal to the sum of their squares + twice their product. From (2) we have (a — 6)2 = a2 — 2ab + b\ That is, 75. The square of the... | |
 | Ellen Hayes - Algebra - 1897 - 244 pages
...statement (a + 6)2 = a2 + 2 ab + W affords the theorem, The square of the sum of any two quantities is equal to the sum of their squares plus twice their product. 30. Similarly, we have (a - b)2 = (a - 6) (a - 6) = a« + (— b) a + a (— b) + (— b) (— 6) =... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...Algebraic Expression. 3. By actual multiplication, we have (a + 6)J = (a + 6)(a + 6) = a2 + 2ab + P. That is, the square of the sum of two numbers is equal to tht square of the first number, jtlus twice the product of the two numbers, plus the square of the... | |
 | George Egbert Fisher - Algebra - 1899 - 506 pages
...Algebraic Expression. 1. By actual multiplication, we have (a + 6)2 = (a -(- b) (a + 6) = a2 + 2 ab + 62. 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... | |
 | 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... | |
 | George W. Evans - Algebra - 1899 - 456 pages
...is zero ; so that the entire product is a2 — ¿2. EXERCISE LIV. Prove the following theorems : 1. The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two, plus the square of the second. (The... | |
 | George Egbert Fisher - Algebra - 1900 - 438 pages
...By 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 square of the first number, plus twice the product of the two numbers, plus the square of the second... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 202 pages
...2. By actual multiplication, we have (a + bf = (a + 6)(o + 6) = a2 + ab + ba + 62 = a2 + 2 ab + 63. 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... | |
 | James Morford Taylor - Algebra - 1900 - 504 pages
...binomials. By multiplication, we obtain (a + 6)2=o2 + 2ao + 62. (1) That is, the square of the sum of tivo numbers is equal to the sum of their squares plus twice their product. Ex.1. (Зж + б2/)2 = (3Ж)2 + (5у)2 + 2(Зх)(5у) by (1) = Qx¿ + -25y2 + 30xy. 5119 Ex.2. (2x-3jí)ü=[(2a;)... | |
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The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number. 
