 | George W. Evans - 1899 - 456 páginas
...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... | |
 | John Henry Walsh - 1899 - 260 páginas
...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... | |
 | John Marvin Colaw, John Kelley Elkwood - 1900 - 450 páginas
...3)'. 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... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 200 páginas
...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... | |
 | George Egbert Fisher - 1900 - 438 páginas
...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... | |
 | John Appley Ferrell - 1901 - 432 páginas
...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.... | |
 | James Harrington Boyd - 1901 - 818 páginas
...The first example gives the value of (a -)- b) (a -f- b), that is, of (aj-6)8; we thus find Hence, the, square of the sum of two numbers is equal to the sum of the squares of the two numbers phis twice the product of the first times the second. Again we... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 646 páginas
...Expression. 1. By actual multiplication, we have (e + 6)' = (a + *)(e + 6) = o2+ 2o6 + *'• 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... | |
 | James Harrington Boyd - 1901 - 812 páginas
...The first example gives the value of (a -\- b) (a -f- b), that is, of (af b)"; we thus find Hence, the square of the sum of two numbers is equal to the sum of the squares of the two numbers plus twice the product of the ßrst_ times the second. Again... | |
 | George Egbert Fisher - 1901 - 622 páginas
...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... | |
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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. 
