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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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Elementary Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 357 σελίδες
...This product is illustrated in the accompanying figure. , Translated into words, this identity is : The square of the sum of two numbers is equal to the square of the first, plus twice the product of the two numbers, plus the square of the second. ORAL EXERCISES Read at sight...

Elementary Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 σελίδες
...б2. This product is illustrated in the accompanying figure. Translated into words, this identity is : The square of the sum of two numbers is equal to the square of the first, plus twice the product of the two numbers, plus the square of the second. ORAL EXERCISES Read at sight...

First Year Mathematics

George William Evans, John A. Marsh - 1916 - 253 σελίδες
...second by a simple multiplication. 141. Prove the following theorems 1. The square of the sum of any two numbers is equal to the square of the first number, plus twice the product of the two, plus the square of the second. 2. The square of the difference of any two numbers is equal to...

Elementary Algebra

George William Myers, George Edward Atwood - 1916 - 338 σελίδες
...twice the product of a and b, plus the square of b, or 186. The square of the sum of two numbers is the square of the first number, plus twice the product of the first and second, plus the square of the second. Exercise 67 Give the results of the following: 1. (b+cY-...

Complete Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - 1917 - 624 σελίδες
...( This product is illustrated in the accompanying figure. Translated into words, this identity is : The square of the sum of two numbers is equal to the square of the first, plus twice the product of the two numbers, plus the square of the second. ORAL EXERCISES Read at sight...

First Course in Algebra, Βιβλίο 1

Walter Burton Ford, Charles Ammerman - 1919 - 334 σελίδες
...formula : Formula V. (a+b)2 = a2+2 ab+b2. Expressed in words, this says that the square of the sum of any two numbers is equal to the square of the first number plus twice the product of the two plus the square of the second number. For example, (r+6)2 = r2+2(r • 6)+62 = r2+12 r+36. (2 a+3...

General Mathematics, Βιβλίο 1

Raleigh Schorling, William David Reeve - 1919
...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
...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 - 383 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 - 260 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...




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