 | 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=?... | |
 | 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... | |
 | 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 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 identity is (a + ¿)2... | |
 | 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... | |
 | 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 square of the first number, plus twice the product of the two numbers, plus the square of the second number. 38. Square... | |
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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. 
