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" Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number. "
Elementary Algebra - Page 134
by George William Myers, George Edward Atwood - 1916 - 338 pages
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1849 - 356 pages
...square of the third. Continuing in this way, we could show that, the square of the sum of any number of numbers is the square of the first number, plus twice the product of the first number into the second, plus the square of the second ; plus twice the product of the sum of the first...
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An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1849 - 347 pages
...square of the third. Continuing in this way, we could show that, the square of the sum of any number of numbers is the square of the first number, plus twice the product of the first number into the second, plus the square of the second ; plus twice the product of the sum of the first...
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An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - Arithmetic - 1850 - 364 pages
...square of the third. Continuing in this way, we could show that, the square of the sum of any number of numbers is the square of the first number, plus twice the product of the first number into the second, plus the square of the second ; plus twice the product of the sum of the first...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1850 - 358 pages
...square of the third. Continuing in this way, we could show that, the square of the sum of any number of numbers is the square of the first number, plus twice the product of the first number into the second, plus the square of the second ; plus twice the product of the sum of the first...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - Arithmetic - 1851 - 356 pages
...square of the third. Continuing in this way, we could show that, the square of the sum -of any number of numbers is the square of the first number, plus twice the product of the first number into the second, plus the square of the second; plus twice the product of the sum of the first...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - Arithmetic - 1855 - 382 pages
...square of the third. Continuing in this way, we could show that, the square of the sum of any number of numbers is the square of the first number, plus twice the product of the first number into the second, plus the square of the second ; plus twice the product of the sum of the first...
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The Common-school Arithmetic: A Practical Treatise on the Science of Numbers

Dana Pond Colburn - Arithmetic - 1859 - 270 pages
...the square of the second, it follows that — (j.) The square of the sum of any two numbers equals the square of the first number plus twice the product of the first number by the second, plus the square of the second. ILLUSTRATIONS. (7 + 3)', or 10' - 7' + twice 7...
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Elements of arithmetic, tr. by J. Spear

Charles Auguste A. Briot - 1863 - 376 pages
...OF THE SQUARE AND CUBE OF THE SUM OF TWO NUMBERS. 156. The square of the sum of two numbers equals the square of the first number, plus twice the product of the first by the second, plus the square of the second. Be it given to raise the sum of 7 + 5 to the square ;...
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An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - Arithmetic - 1869 - 360 pages
...From the above, we draw the following property : The square of the sum of two numbers is equal to tk* square of the first number, plus twice the product of the first number into the second, plus the square of the econd. If we wish the square of the sum of three numbers..as...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 422 pages
...W. Hence (a+b)-=a- + 2ab + b2. (1) Since a and b in (1) represent any two numbers, it follows that The square of the sum of two numbers is the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second. Write...
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