 | Silas Lawrence Loomis - Arithmetic - 1859 - 324 pages
...Do you understand its language ? Repeat Prin. 1 . Illustration. Inf 356. PRIN. 2. — THE SQUARE or THE SUM OF TWO NUMBERS, IS EQUAL TO THE SQUARE OF...FIRST BY THE SECOND, PLUS THE SQUARE OF THE SECOND. NOTE. — This principle demands close attention. ILLUSTRATION. — What is the square of 27 ? 27 is... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...CHAPTER III. THEOREMS AND FACTORING. 0 THEOREM I. ( 1 09.) The square of the sum of two quantities is equal to the square of the first, plus twice the...first by the second, plus the square of the second. • DEMONSTBATION. f Let a + b represent the sum of two quantities. Squaring it, or multiplying it... | |
 | Charles Davies - Algebra - 1859 - 324 pages
...have, (a + b)' = (a + b) (a + b) = a' + <¿ab + b\ That is, The square of the sum of any two quantities is equal to the square of the first, plus twice the product of the first by (he second, plus the square of the second. 1 . Find the square of 2a + 3o. We have from the role. (2a... | |
 | Jeremiah Day - Algebra - 1859 - 422 pages
...frequent occurrence, and should be carefully learned. THEOREM I. The square of the Sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second. This may be expressed algebraically thus, (a+b)3 =a3 +2ab+b3... | |
 | Chambers W. and R., ltd - 1859 - 344 pages
...method becomes the continuous one prescribed in the rule, the following proposition must be premised : The square of the sum of two numbers is equal to the squares of the two numbers, together with twice their product. Take any two numbers, as 20 and 5 ;... | |
 | Benjamin Greenleaf - Arithmetic - 1859 - 334 pages
...without multiplying tho parts separately by the width ? ET*f G*t D F 8 20 20 # 20 5 r 400 100 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... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...multiplication indicated, (a + b)z = <£• + 2ab + 62 ; that is, The square of the sum of two quantities is equal to the square of the first, plus twice the...first by the second, plus the square of the second. To apply this formula to finding the square of the binomial 5a2 + 8a26, we have (5a2 + 8a26)2 = 25a4... | |
 | Charles Davies - Algebra - 1860 - 330 pages
...have, (a + by = (a + 1) (a + b) = a' + lab + b1. That is, The square of the sum of any two quantities is equal to the square of the first, plus twice the...first by the second, plus the square of the second. 1. Find the square of 2a + 3b. We have from the rule, 63. What is a formula? What are the uses of formulas... | |
 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...are three figures in the given number, there must be two figures in the root; (Art. 562. Obs. 2;) but the square of the sum of two numbers, is equal to the square of the first part ad led to twice the product of the two ptirts and the square of the last part; it follows therefore... | |
 | Dana Pond Colburn - Arithmetic - 1860 - 388 pages
...the second : The square of the sum of anil two numbers equals the square of the .first, plus tioice the product of the first by the second, plus the square of the tecond. Illustrations. (7 + 5)2 = 72 + 2 X 7 X 5 + 52 = 49 + 70 + 25 = 144 = 12* X 8 X 4 +42=64 + 64... | |
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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 second, plus the square of the second. 
