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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. "
School Arithmetic; Advanced Book - Page 430
by John Marvin Colaw, John Kelley Elkwood - 1900 - 442 pages
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Mathematics for Common Schools: Higher arithmetic

John Henry Walsh - Arithmetic - 1893 - 392 pages
...Multiplying by 20 202 + 20 x 5 Multiplying by 5 20 x 5 +5' 202 + 2(20 x 5) + 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 second + the square of the second. 13' = (10 + 3)2 =- 102+2(10x3)+32=?...
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Higher Arithmetic

John Henry Walsh - 1893 - 426 pages
...Multiplying by 20 202 + 20 X 5 Multiplying by 5 20 x 5 +5' 202 + 2(20 x 5) + 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 second + the square of the second. 132=(10 + 3)2 = 102+2(10x3)+32=?...
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Dubbs' Complete Mental Arithmetic: A Volume of Carefully Graded Exercises to ...

Eugene L. Dubbs - Arithmetic - 1893 - 244 pages
...is an easy and elegant method of squaring numbers less than 100, by using an algebraic theorem : " 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 seccond, plus the square of the second." Square 45 by the...
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Commercial Arithmetic

Samuel Jackson - Business mathematics - 1893 - 444 pages
...Involution. In squaring and cubing numbers the following Algebraic principles are very useful : — (1) The square of the sum of two numbers is equal to the sum of the squares of the numbers + twice the product. (2) The square of the difference of two numbers...
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Algebra for Beginners

William Frothingham Bradbury, Grenville C. Emery - Algebra - 1894 - 166 pages
...following process ; a + b a + b <t2+ ab + ab + b* a' + 2 ab + b* From this we deduce the following THEOREM. 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. According to this theorem find the...
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Grammar-school Arithmetic: Including Easy Algebraic Equations and Simple ...

John Henry Walsh - Arithmetic - 1895 - 476 pages
...by 20 20s + 20 x 5 Multiplying by 5 - 20x5 + 5J 202 + 2(20 x 5) + 5s = 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 second + the square of the second. 13' = (10 + 3)' = 102+2(10x3)+32=?...
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Higher Arithmetic: Includes Easy Algebraic Equations and Simple Geometrical ...

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...
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Grammar-school Arithmetic: Including Easy Algebraic Equations and Simple ...

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'...
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Higher Arithmetic, Including Easy Algebraic Equations and Simple Geometrical ...

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 square of the first + twice the product of the first by the second + the square of the second. 132 = (10 + 3)2 = 102+2(10x3)+3!...
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An Algebraic Arithmetic: Being an Exposition of the Theory and Practice of ...

Silas Ellsworth Coleman - Arithmetic - 1897 - 180 pages
...Since a and b may be any two numbers, we have the law : The square of the sum of two numbers equals the square of the first number plus twice the product of the numbers plus the square of the second number. The operation of squaring a number of two figures is...
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