 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.  Arithmetic - Σελίδα 186των Jacob William Albert Young - 1905Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | 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... | |
 | Charles Frederick Partington - 1838 - 1116 σελίδες
...the first by the square of the second, plua the cube of the second ; nor is their cube made up of Me square of the first, plus twice the product of the first and second, plus the sqiuire of the second. Unless, therefore, we can discover some general principle which regulates the... | |
 | 1838 - 372 σελίδες
...(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 - 1839 - 272 σελίδες
...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 - 1842 - 368 σελίδες
...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 - 1842 - 284 σελίδες
...(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... | |
 | Charles Davies - 1845 - 382 σελίδες
...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 - 1845 - 308 σελίδες
...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 William Hackley - 1846 - 542 σελίδες
...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 - 1846 - 376 σελίδες
...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... | |
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