 | Charles Davies - 1835 - 378 σελίδες
...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... | |
 | 1838 - 372 σελίδες
...form the square 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...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 Frederick Partington - 1838 - 1116 σελίδες
...useful 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 - 1839 - 264 σελίδες
...form the square or second power of the binomiaj (a+b). We have, from known principles, That is, the square of the sum of two quantities is equal to the...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... | |
 | Bourdon (M., Louis Pierre Marie) - 1839 - 368 σελίδες
...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 - 1840 - 264 σελίδες
...form the square or second power of the binomial (a+6). 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 frst by the second, plus the square of the second. 1. Form the square of 2a+3J. We have from the rule... | |
 | Charles Davies - 1842 - 368 σελίδες
...binomial, (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...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 - 1842 - 284 σελίδες
...form the square 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...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 - 1845 - 382 σελίδες
...multiplication of algebraic quantities in the demonstration of the following theorems. THEOREM I. The square of the sum of two quantities is equal to the...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 - 1845 - 308 σελίδες
...14a26c5+14a62c5— 3a2ce— 7 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 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. 
