| Charles Davies - Algebra - 1842 - 368 pages
...the 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** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...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.... | |
| Charles Davies - Algebra - 1845 - 382 pages
...the 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** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| Elias Loomis - Algebra - 1846 - 380 pages
...2. Required the square 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.... | |
| Elias Loomis - Algebra - 1846 - 376 pages
...2. Required the square of 3 + 2 \/ 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.... | |
| Joseph Ray - Algebra - 1848 - 250 pages
...be a2+2a6+62; thus: a+6 a+6 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.... | |
| Charles Davies - Algebra - 1848 - 302 pages
...to 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** square of the first, plus twice the product of the first by the second, plus the square of the second.... | |
| James Haddon - Algebra - 1850 - 210 pages
...3a，6+3a6，+&' =a>+b，+8ab(a+b) =a'-が-3aあ(a-あ). Hence， by the last two formul，e， the cube **of the sum of two quantities is equal to the sum of their** cubes + three times their product multiplied by their sum. ⅠⅠ ノ 石 Ⅹ ノ 圧 言 二 叫 皿... | |
| Joseph Ray - Algebra - 1852 - 408 pages
...following theorems, which may be 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.... | |
| Joseph Ray - Algebra - 1848 - 250 pages
...product will be o2+2a6+62 ; thus : 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.... | |
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