 | Eugene L. Dubbs - 1893 - 244 σελίδες
...is an easy and elegant method of squaring numbers less than 100, by using an algebraic theorem : " The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the seccond, plus the square of the second."... | |
 | William Frothingham Bradbury, Grenville C. Emery - 1894 - 166 σελίδες
...following process ; a + b a + b <t2+ ab + ab + b* a' + 2 ab + b* From this we deduce the following THEOREM. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the two, plus the square of the second. According to... | |
 | George Albert Wentworth - 1894 - 272 σελίδες
...great importance : + b2 a?-2ab + b2 a? —b2 From (1) we have (a + о)2 = a2 + 2ab + b\ That is, 74. The square of the sum of two numbers is equal to the mm of their squares + twice their product. From (2) we have (a — b)2 = a'1 - 2ab + b\ That is, 75.... | |
 | John Henry Walsh - 1895 - 480 σελίδες
...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'... | |
 | John Henry Walsh - 1895 - 400 σελίδες
...Multiplying by 20 202 + 20 X 5 Multiplying by 5 20 x 5 +5' 202 + 2(20 x 5) + 52 = 400 + 200 + 25 = 625. 1032. The square of the sum of two numbers is equal to the equate of the first + twice the product of the first by the second + the square of the second. 13z... | |
 | George Albert Wentworth - 1896 - 302 σελίδες
...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... | |
 | George W. Evans - 1899 - 458 σελίδες
...sum is zero ; so that the entire product is a2 — b2. 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... | |
 | John Henry Walsh - 1899 - 260 σελίδες
...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 Egbert Fisher, Isaac Joachim Schwatt - 1900 - 200 σελίδες
...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 square of the first number, plus twice the product of the two numbers, plus the square of the second... | |
 | John Marvin Colaw, John Kelley Elkwood - 1900 - 450 σελίδες
...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 square of the first number, plus twice the product of the two numbers, plus the square of the second... | |
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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. 
