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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. "
Book three (1901) - Σελίδα 251
των Isaac Oscar Winslow - 1901
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 344 σελίδες
...to 6 2 + 2x 6.8 + S 2 , which result may be thus expressed : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square of the second. If we wish the square of the sum of three numbers,...

An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - 1849 - 346 σελίδες
...1600+640+64. From the above, we draw the following property : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square of the second. If we wish the square of the sum of three numbers,...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 356 σελίδες
...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...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 356 σελίδες
...equal to 6" + 2x 6.8 + 83, which result may be thus expressed : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square of the second' If we wish the square of the sum of three numbers,...

An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - 1850 - 364 σελίδες
...6 and 8 into 9, plus the square of 9 Or in general terms, The square of the sum of three numbers is equal to the square of the first number, plus twice the product ofthejirst number into the second, plus the square of the second ; plus twice the product of the sum...

An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1851 - 356 σελίδες
...and 8 into 9, plus the square of 9. Or in general terms, The square of the sum of three numbers is equal to 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...

An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1855 - 388 σελίδες
...1600+640+64. From the above, we draw the following property : The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first number into the second, plus the square of the teeond. If we wish the square of the sum of three numbers,...

The Common-school Arithmetic: A Practical Treatise on the Science of Numbers

Dana Pond Colburn - 1859 - 288 σελίδες
...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...

Elements of arithmetic, tr. by J. Spear

Charles Auguste A. Briot - 1863 - 374 σελίδες
...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 ;...

An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - 1869 - 358 σελίδες
...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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