 | Charles Davies - Algebra - 1835 - 378 pages
...principles, (a+by=(a+b) (a+b)=a3+'2ab+b3. That is, the square of the sum of two quantities is composed of the square of the first, plus twice the product of the first by the second, plus the square of the second. Thus, to form the square of 5a3+8a3i, we have, from what... | |
 | Algebra - 1838 - 372 pages
...(a+*)- 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. Thus, to form the square of 5a"-\-8a2b, we have, from... | |
 | Charles Davies - Algebra - 1839 - 272 pages
...principles, (a+b)2=(a+b) (a+b)=a? + 2ab+b\ 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+36. We have from the rule (2a... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...principles, (a + b)2=(a+b) (a+i)=a 2 +2ai+i 2 . 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. Thus, to form the square of 5o 2 +8a 2 i, we have, from... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...(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+36. We have from the rule (2a... | |
 | Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...product is a2+2a6-}-62; from which it appears, that 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. 17. Multiply a — b by a — b. The product is a2 —... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...demonstration of the following theorems. 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 denote one of the quantities and l1 the other:... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...are comprehended under the rule in Art. 60, that 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. Ex. 3. Reqired the cube of \/ x + 3 \/ y. Ex. 4. Required... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...are comprehended under the rule in Art. 60, that 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. Ex. 3. Reqired the cube of \/ x + 3 V y. Ex. 4. Required... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...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... | |
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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. 
