 The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.  School Algebra - Page 74by John Marvin Colaw - 1903 - 432 pagesFull view - About this book
 | Eugene L. Dubbs - Arithmetic - 1893 - 244 pages
...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." Square 45 by the theorem (45=... | |
 | John Henry Walsh - 1893 - 426 pages
...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 + 3)2 = 102+2(10x3)+32=?... | |
 | John Henry Walsh - Arithmetic - 1893 - 392 pages
...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' = (10 + 3)2 =- 102+2(10x3)+32=?... | |
 | Samuel Jackson - Business mathematics - 1893 - 444 pages
...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... | |
 | William Frothingham Bradbury, Grenville C. Emery - Algebra - 1894 - 166 pages
...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 this theorem find the square of... | |
 | John Henry Walsh - Arithmetic - 1895 - 476 pages
...by 20 20s + 20 x 5 Multiplying by 5 - 20x5 + 5J 202 + 2(20 x 5) + 5s = 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' = (10 + 3)' = 102+2(10x3)+32=?... | |
 | 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'... | |
 | John Henry Walsh - Arithmetic - 1895 - 400 pages
...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... | |
 | John Henry Walsh - 1897 - 424 pages
...by 20 202 + 20 x 5 Multiplying by 5 20 x 5 +5' 202 + 2 (20 x 5) + 5s = 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 + 3)2 = 102+2(10x3)+3!... | |
 | 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... | |
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