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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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Advanced Algebra

Arthur Schultze - 1906 - 562 páginas
...special mention : П. (а-6)2 = а2III. (а + 6)(а-6) = а2-62. Expressed in general language: I. 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....
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The Practice of Instruction: A Manual of Method General and Special

John William Adamson - 1907 - 512 páginas
...formula being translated • into ordinary language and committed to memory in the latter form — eg the square of the sum of two numbers is equal to the sum of their squares added to twice their product. Memoriter work has become so discredited in recent...
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An Arithmetic for Upper Grades

John Henry Walsh - 1908 - 298 páginas
...+ 20 times 5 + 52 (20 + 5) times (20 + 5) = 202 + twice (20 x 5) + 52 ; or 400 + 200 + 25, or 625. 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 second, plus the square of the second....
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Standard Algebra

William James Milne - 1908 - 464 páginas
...that (a + 6) (a + 6) = a? + 2 ab + b2; also that (x + y)(x + y) = я? -\-2xy + f. 105. PRINCIPLE. — The square of the sum of two numbers is equal to the square of the first number, plus twice the product of t be first and second, pins the square of the...
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The Gilbert Arithmetics, Libro 3

Charles H. Gleason, Charles Benajah Gilbert - 1910
...= b, then (a + 6) 2 = a 2 + 6 2 + 2 ab. Prove it by finding the square of a + b by multiplication, The square of the sum of two numbers is equal to the sum of the squares of the numbers plus twice their product. 15=10 + 5. Then 15 2 = 10 2 + o 2 + 2 x...
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Secondary-school Mathematics, Libro 1

Robert Louis Short, William Harris Elson - 1910
...(a + 6)2 ={f + 3 ab + 62. Or, stated in words : (o is the first number and 6 is the second number. ) Th,e 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, plus the square of the second....
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The Primer of Hydraulics

Frederick A. Smith - 1911 - 217 páginas
...thus instead of 00+06+06+66 write o*+2o6+6*. This expression also illustrates aft important principle that the square of the sum of two numbers is equal to the sum of the squares of the two numbers phis twice their product. To illustrate an application of this...
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An Introductory Algebra

John Henry Walsh - 1911 - 214 páginas
...SQUARES OF NUMBERS The square of a quantity is obtained by employing the quantity twice as a factor. 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. The...
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First Year Algebra

William James Milne - 1911 - 320 páginas
...second term obtained ? the third term ? 3. What signs have the terms of the result? 85. PRINCIPLE. — The square of the sum of two numbers is equal to the square of the firat number, plus twice the product of the first and second, plus the square of the...
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Hopkins and Underwood's Arithmetic: Book One-two, Libro 2

John William Hopkins, Patrick Healy Underwood - 1912
...are a and b. Therefore, (a + b)2 = a2 + 2 ab + b*. This equation expresses in mathematical language that 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 number. Example...
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