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 Βιβλία Βιβλία 51 - 60 από 170 για That is, the square of the sum of two numbers is equal to the square of the first....
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.
Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Σελίδα 309
των George Roberts Perkins - 1851 - 342 σελίδες
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Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - 1880 - 408 σελίδες
...OPERATIONS. 4096= = 3600 + 480 + 16. The operations illustrate 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 by the second, plus the square of the second. Thus : Show by involution,...

Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - 1880 - 408 σελίδες
...602+60X4 4096= = 3600 + 480+16. The operations illustrate the following principle : PRINCIPLE. — The square of the sum of two numbers is equal to the square of Hie first, plus twice the product of the first by the second, plus tiie square of the second. Thus...

A treatise on arithmetic. [With] Key, Τόμος 1

James Thomson - 1880
...accuracy necessary in the result may require. The principle on which the preceding rule depends, is, that the square of the sum of two numbers is equal to the sum of the squares of the numbers added to twice their product. Thus, 34 being = 30 + 4, its square...

Elements of Algebra

George Albert Wentworth - 1881 - 380 σελίδες
...three which follow are of great importance: From (1) we have (a + bf = a? + 2ab + b2. That is, 74. The square of the sum of two numbers is equal to the sum of their squares + twice their product. From (2) we have (a — 6)2 = a' — 2 ab + 62. That is,...

Principles of Arithmetic

M.A. Homersham Cox - 1885 - 220 σελίδες
...added units. We shall soon require the following important theorem relating to the squares of numbers. The square of the sum of two numbers is equal to the sum of the squares of the number together with twice the product of the numbers. For instance 1 1 is...

Shorter Course in Algebra

George Albert Wentworth - 1886 - 165 σελίδες
...follow are of great importance : Ь' à2 - Ь2 From (1) we have (a + ¿)2 = a2 + 2ab + V. That is, 74. The square of the sum of two numbers is equal to the sum of their squares + twice their product. From (2) we have (a - ¿)2 = a2 — 2 ab + b\ That is,...

College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - 1888 - 540 σελίδες
...a + 6 we get (« + 6) (a + 6) = «2 + 2a6 + 62 ; that is (a + 6)2 = a2 + 2«6 + 62. . . . (1) Thus the square of the sum of two numbers is equal to the sum of the squares of the two numbers increased by twice their product. Similarly, if we multiply a...

William Frothingham Bradbury, Grenville C. Emery - 1889 - 414 σελίδες
...already established we are prepared to demonstrate the following important theorems. THEOREM I. 85. The square of the sum of two numbers is equal to the square of the first, plus twice the product of tlie two, plus the square of tlie second. PROOF. Let a and b represent any...

College Algebra

Webster Wells - 1890 - 577 σελίδες
...(Art. 8), (a + by = a2 + 2ab + b2. (1) This formula is the symbolical statement of the following rule : 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. In the second case,...

The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 393 σελίδες
...triangle having AB = AC, and if D be taken in AC so that BD = BC, prove that the square on BC = AC X CD. * The square of the sum of two numbers is equal to the sum of the squares <jf the two numbers increased by twice their product. Proposition 28. Theorem. 333....