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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. "
The Theory and Practice of Surveying: Containing All the Instructions ... - Página 24
por Robert Gibson - 1832 - 348 páginas
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Algebra for Schools

George W. Evans - 1899 - 433 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...
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Grammar-school Arithmetic: Including Algebraic Equations and Simple ...

John Henry Walsh - 1899 - 241 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...
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School Arithmetic; Advanced Book

John Marvin Colaw, John Kelley Elkwood - 1900 - 442 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...
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Rudiments of Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 183 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...
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Secondary Algebra

George Egbert Fisher - 1900 - 397 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...
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Ferrell's Advanced Arithmetic, Libro 2

John Appley Ferrell - 1901 - 408 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....
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College Algebra

James Harrington Boyd - 1901 - 777 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...
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Higher Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 615 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...
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College Algebra

James Harrington Boyd - 1901 - 777 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...
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Complete Secondary Algebra

George Egbert Fisher - 1901
...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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