 | Elias Loomis - Algebra - 1846 - 380 pages
...application that they should be carefully committed to memory. 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 by the second, plus the square of the second. Thus if we multiply a + b By a + b a2 + ab ab+b2 We obtain... | |
 | Charles William Hackley - Algebra - 1846 - 542 pages
...square of the sum of two numbers or quantities is equal to the square of the first of the two quantities plus twice the product of the first and second, plus the square of the second. 2. That the product of the stun and difference is equal to the difference of the squares ; and, 3.... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...application that they should be carefully committed to memory. THEOREM I. The square of the sum of two quantities is equal to the square of the first, plus twice the product j)f the first by the second, plus the square of the second. Thus if we multiply a + b By a + b a2 -\-... | |
 | Charles William Hackley - Algebra - 1846 - 544 pages
...two numbers or quantities is equal to the square of the first of the two quantities plus twice tho product of the first and second, plus the square of the second. 2. That the product of the sum and difference is equal to the difference of the squares ; and, 3. That... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...a2+a6 But a-\-b IB the sum of the quantities, a and 6 ; hence 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 by the second, plus the square of the second. EXAMPLES. NOTE. — The instructor should read each of... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...power of the binomial (a-\-b). We have, from known principles, That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 1. Form the square of 2a+3b. We have from the rule (2a... | |
 | Rufus Putnam - Arithmetic - 1849 - 402 pages
...+ 3)*. From these examples and illustrations, wo see that the square of the sum of any two numbers is equal to the square of the first, plus twice the product of the first into the second, plus the square of the second. 5. Find by this method the square of4-f-3; 5-f-8; lf-4;... | |
 | Stephen Chase - Algebra - 1849 - 348 pages
...have (a+6) 2 = (a+J) (a+J) = a2+2ab+b2. That is, THEOREM I. The square of the sum of two numbers i> equal to the square of the first, plus twice the product of tlte Jirst by the second, plus the square of the second. Or, more briefly, The square of the sum of... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...regarded as the simplest application of Algebra. ART. 78. 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 by the second, plus the square of the second. Let a represent one of the quantities, and b the other... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...a+b But a-\-b is the sum of the quantities, a and b : hence 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 by the second, plus thz square of the second. EXAMPLES. NOTE. — The instructor should read each of... | |
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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. 
