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" 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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General Mathematics, Βιβλίο 1

Raleigh Schorling, William David Reeve - 1919 - 520 σελίδες
...following short cuts for finding the square of the sum and the square of the difference of two numbers: 1. The square of the sum of two numbers is equal to the square of the first number increased by two times the product of the first number and the second number plus the square of the...

General Mathematics, Βιβλίο 1

Raleigh Schorling, William David Reeve - 1919 - 510 σελίδες
...the square of the second number. Thus, (« + ?>)2 = a2 + 2 ab + b2. 2. The square of the difference of two numbers is equal to the square of the first number decreased by two times the product of the first number and the second number plus the square of the...

Elementary Algebra with a Table of Logarithms

Julius Lederer Neufeld - 1920 - 412 σελίδες
...the Sum of Two Numbers. Since, as shown above, (a + 6)2 = a2 + 2ab + 62 we have the following Rule 1. The square of the sum of two numbers is equal to the sum of the squares of the numbers plus twice their product. EXERCISE 23 Write, by inspection, 1. (x...

The New Methods in Arithmetic

Edward Lee Thorndike - 1921 - 278 σελίδες
...2; thus 400+100+100+25 = 625. This illustration and explanation is founded upon the principle, That the square of the sum of two numbers is equal to the squares of the numbers plus twice their product. Thus, 25 being equal to 20+5, its square is equal...

Dublin examination papers

Dublin city, univ - 1873 - 382 σελίδες
...phenomenal freedom of the will P 4. Explain, on the principles of Kant, how it is that such a proposition as "the square of the sum of two numbers is equal to the sum of their squares together with twice their product" can be proved, either algebraically, or by...

Modern Algebra: Ninth School Year

Raleigh Schorling, John Roscoe Clark - 1924 - 408 σελίδες
...difference of the squares of two numbers 8. (/ — s)2 (h) 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. 9. 2/s (») The product of two numbers 10. (f + s)2=f...

The High School

Walter Scott Monroe, Oscar Friedolin Weber - 1928 - 536 σελίδες
...the parentheses the multiplier "one" is understood. 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. The knowledge outcomes also include the concept...

The Primary Logic: Instruments for a Dialogue Between the Two Cultures

Michele Malatesta - 1997 - 212 σελίδες
...time, but under different aspects. 3.2 Logistic or symbolic logic Let us take three expressions: (a) The square of the sum of two numbers is equal to the sum of the square of the first number, the square of the second number, and twice the product of the...
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Sourcebook on Intellectual Property Law

Peter Groves - 1997 - 787 σελίδες
...arbitrary number, whereby such control eliminates the process of division by using the formula wherein the square of the sum of two numbers is equal to the sum of the squares of each of the two numbers plus twice the product of the two numbers, and which...
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Midland Medical Miscellany and Provincial Medical Journal, Τόμος 3

1884 - 516 σελίδες
...actually proved it by experiment, it is impossible for him to understand the formula, for instance, that the square of the sum of two numbers is equal to the sum of their squares together with twice their product. A very simple experiment, however, impresses...




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