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 Βιβλία Βιβλία 61 - 70 από 171 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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## Mathematics for Common Schools, Μέρος 3

John Henry Walsh - 1893
...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=?...

## Higher Arithmetic

John Henry Walsh - 1893
...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=?...

## Dubbs' Complete Mental Arithmetic: A Volume of Carefully Graded Exercises ...

Eugene L. Dubbs - 1893 - 220 σελίδες
...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...

## Commercial Arithmetic

Stanley Jackson - 1893 - 371 σελίδες
...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...

## Algebra for Beginners

William Frothingham Bradbury, Grenville C. Emery - 1894 - 128 σελίδες
...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...

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

John Henry Walsh - 1895 - 444 σελίδες
...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=?...

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

John Henry Walsh - 1895 - 361 σελίδες
...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...

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

John Henry Walsh - 1895 - 444 σελίδες
...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'...

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

John Henry Walsh - 1897 - 394 σελίδες
...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!...

## An Algebraic Arithmetic: Being an Exposition of the Theory and Practice of ...

Silas Ellsworth Coleman - 1897 - 151 σελίδες
...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...