 | Homersham Cox (the younger) - 1885 - 248 σελίδες
...added units. We shall soon require the following important theorem relating to the squares of numbers. The square of the sum of two numbers is equal to the sum of the squares of the number together with twice the product of the numbers. For instance 1 1 is the sum of... | |
 | George Albert Wentworth - 1886 - 284 σελίδες
...follow are of great importance : Ь' à2 - Ь2 From (1) we have (a + ¿)2 = a2 + 2ab + V. That is, 74. The square of the sum of two numbers is equal to the sum of their squares + twice their product. From (2) we have (a - ¿)2 = a2 — 2 ab + b\ That is, 75. The... | |
 | Edward Albert Bowser - 1888 - 868 σελίδες
...a + 6 we get (« + 6) (a + 6) = «2 + 2a6 + 62 ; that is (a + 6)2 = a2 + 2«6 + 62. . . . (1) Thus the square of the sum of two numbers is equal to the sum of the squares of the two numbers increased by twice their product. Similarly, if we multiply a — b by o... | |
 | William Frothingham Bradbury, Grenville C. Emery - 1889 - 428 σελίδες
...already established we are prepared to demonstrate the following important theorems. THEOREM I. 85. The square of the sum of two numbers is equal to the square of the first, plus twice the product of tlie two, plus the square of tlie second. PROOF. Let... | |
 | Edward Albert Bowser - 1890 - 418 σελίδες
...triangle having AB = AC, and if D be taken in AC so that BD = BC, prove that the square on BC = AC X CD. * The square of the sum of two numbers is equal to the sum of the squares <jf the two numbers increased by twice their product. Proposition 28. Theorem. 333. The sum... | |
 | Webster Wells - 1890 - 604 σελίδες
...(Art. 8), (a + by = a2 + 2ab + b2. (1) This formula is the symbolical statement of the following rule : 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 second, plus the square of the second.... | |
 | Samuel Jackson - 1893 - 444 σελίδες
...Involution. In squaring and cubing numbers the following Algebraic principles are very useful : — (1) The square of the sum of two numbers is equal to the sum of the squares of the numbers + twice the product. (2) The square of the difference of two numbers is equal... | |
 | John Henry Walsh - 1893 - 426 σελίδες
...Multiplying by 20 202 + 20 X 5 Multiplying by 5 20 x 5 +5' 202 + 2(20 x 5) + 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 second + the square of the second. 132=(10... | |
 | John Henry Walsh - 1893 - 392 σελίδες
...Multiplying by 20 202 + 20 x 5 Multiplying by 5 20 x 5 +5' 202 + 2(20 x 5) + 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 second + the square of the second. 13'... | |
 | George Albert Wentworth - 1893 - 348 σελίδες
...-аЪ-V a' + 2ab+b3 а2-2а¿ + ¿2 а2 -¿' From (1) we have (а + S)2 = а' + 2 ab + V. That is, 74i The square of the sum of two numbers is equal to the вит, of their squares + twice their product. From (2) we have (a — ¿)2 = a2 — 2 ab + V. That... | |
| |
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. 
