| Elias Loomis - Algebra - 1881 - 398 pages
...The three following theorems have very important applications. The square of the sum of two numbers **is equal to the square of the first, plus twice the...first by the second, plus the. square of the second.** Thus, if we multiply a + b by a + b oa+ ab ab + b* we obtain the product a2 + 2ab + bz. of the result,... | |
| 1882
...theorem? 4. What is a factor? 5. What is a co-efficient? 6. Prove that the square of the sum of any **two quantities is equal to the square of the first...first by the second plus the square of the second.** 7. Show that — 2a subtracted from 3a leaves 5a. 8. What signs of a fraction may be changed without... | |
| Algebra - 1888 - 494 pages
...multiplication that are important on account of their frequent occurrence in algebraic operations. 85. I. **The square of the sum of two quantities is equal to...first by the second, plus the square of the second.** Thus, (x + y)2 = ж2 + 2xy + y2. (x + 3)2 = ж2 + 6ж + 9. 86. Write, by inspection, the squares of... | |
| Webster Wells - Algebra - 1890 - 560 pages
...This formula is the symbolical statement of the following rule : The square of the sum of two numbers **is equal to the square of the first, plus twice the...first by the second, plus the square of the second.** In the second case, (a -6)2 = a1-2ab + 62. (2) That is, the square of the difference of two numbers... | |
| Webster Wells - Algebra - 1890 - 604 pages
...(2) That is, the square of the difference of two numbers is equal to the square of the first, minus **twice the product of the first by the second, plus the square of the second.** In the third case, (a + b)(ab)=a2-b2. (3) That is, the product of the sum and difference of two numbers... | |
| Charles Scott Venable - 1890 - 170 pages
...expresses the Rule : — Tfte square of the difference of two quantities is the square of the first, minus **twice the product of the first by the second, plus the square of** ike second. Ex. 1. (x - 5)' =x' — lOx + 25. Ex. 2. (Зa - 2o)2 = (Зa)2 - 2 x Зa x 2b + (Щ' =•... | |
| Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...right. Since the square of a number divided into any two parts is equal to the square of the first part, **plus twice the product of the first by the second, plus the square of the second** part (423), having found the square of the first part, which is 4900, the remainder 517 must be equal... | |
| Horatio Nelson Robinson - Arithmetic - 1892 - 430 pages
...right. Since the square of a number divided into any two parts is equal to the square of the first part, **plus twice the product of the first by the second, plus the square of the second** part (423), having found the square of the first part, which is 4900, the remainder 517 must be equal... | |
| Joseph Ray - Algebra - 1894 - 252 pages
...II. — The square of the difference of two quart*titles is equal to the square of the first, minus **twice the product of the first by the second, plus the square of the second. 1.** (5-4)«=25— 40+16=1. 2. (2»— 6)2— 4a2— 3. (3*— 2yy= 4. (a2— y2)2=x*— 5. (ax— ar!)2=a... | |
| Wallace Clarke Boyden - Algebra - 1894 - 186 pages
...the terms of the dividend. 2. That the quotient is the square of the first term of the divisor, plus **the product of the first by the second, plus the square of the second.** Write two factors, one of which is the difference of the cube roots of the terms/ and the other the... | |
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