 | Algebra - 1838 - 372 pages
...or second power of the binomial, (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,... | |
 | Charles Frederick Partington - Encyclopedias and dictionaries - 1838 - 1116 pages
...exercises. It is required to prove 1°. That (a + 6) (n + b) = os + lab + 63 ; or, that the square of the sum of two quantities is equal to the square of the first quantity, plus the square of the second, plus twice the product of the first and second. 2°. That... | |
 | Charles Davies - Algebra - 1839 - 272 pages
...binomial (a+6). We have, from known 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... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...or second power of the binomial, (a-\-b). We have, from known principles, That is, the square ofthe sum of two quantities is equal to the square of the first, plus twice the product of tl>e first by the second, plus the square of the second. Thus, to form the square of 5a2+8a26, we have,... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...or second 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+36. We have from the rule... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...(a-\-b). We have, from known 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,... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...of algebraic quantities in the 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:... | |
 | Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...16. Multiply a+6 by a+b. The 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... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...of 3 + 2 A/ 5. These two examples 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.... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...extensive 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 -\-... | |
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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 multiplied by the second, plus the square of the second. 
