 | 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 - 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 - 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...the first by the second + the square of the second. 132 = (10 + 3)2 = 102+2(10x3)+3! = ? 182 = (10 + 8)2=100 +160 + 64 = ? 272 = (20+7)2 = 400 +280 + 49=?... | |
 | 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
...the first and the second + the square of the second. The square of the difference of two quantities is equal to the square of the first — twice the product of the first and the second -f- the square of the second. (m — «)2 = TO* — 2 mn + rf (10 + 5)' = 10' + 2 x... | |
 | 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... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 200 pages
...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 number. Eg, (2x +... | |
 | George Egbert Fisher - Algebra - 1900 - 438 pages
...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 number. Eg, (2 x +... | |
 | George Egbert Fisher - 1901 - 622 pages
...TYPE-FORMS IN MULTIPLICATION. The Square of a Binomial. 2, By actual multiplication, we have 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 number. Eg, (2x +... | |
 | John Appley Ferrell - Arithmetic - 1901 - 432 pages
...52+2xlO+22 = 25+20 + 4 = 49, result. These examples are illustrative of the following principle : PRINCIPLE: The square of the sum of two numbers is equal to the square of the first plus twice the product of the first times the second plus the square of the second. By referring to... | |
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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. 
