 | Algebra - 1839 - 368 pages
...is, the square of the difference between two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second. Thus, (7o3i3— 12ai3)3=49o4i4— 168a3i5+144a3i6. 3d. Let it be required to multiply a-\-b by a —... | |
 | Richard W. Green - Algebra - 1839 - 156 pages
...their sum, by their sum. a+b a+b a3+ab +ab+b3 By this operation we find the following general property. The square of the sum of two numbers is equal to the square of the Jlrst number, plus twice the product of the two numbers, plus the square of the last number. §173.... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...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 - 1840 - 264 pages
...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 - Algebra - 1842 - 368 pages
...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...first by the second, plus the square of the second. Thus, to form the square of 5o 2 +8a 2 i, we have, from what has just been said, (5a 2 + 8a 2 i) 2... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...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...first by the second, plus the square of the second. 1. Form the square of 2a+36. We have from the rule (2a + 36)2 = 4a2 + 12a6 + 962. 3. (5a6+3ac)2 =25a262+... | |
 | George Peacock - Algebra - 1842 - 426 pages
...into a + b, or the square Square of (Art. 39.) of a + b. a + 6' a + b a + b a* + ab + ab + b* = (a Or the square of the sum of two numbers is equal to the sum of the squares of those numbers together with twice their product. Thus, (5 + S)8 = 25 + 9 + 2x3x5=... | |
 | Davis Wasgatt Clark - 1844 - 394 pages
...) , . ,, ,, , n ^ a +0=0 -\-2p. gether ) Fifth Theorem. 201. The square of a polynomial expressing the sum of two numbers, is equal to the square of the fIrst term -f twice the product of the two terms + the square of th2 last term. Let s represent the sum,... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...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...first by the second, plus the square of the second. Let a denote one of the quantities and l1 the other: then a + b — their sum. Now, we have from known... | |
 | Ormsby MacKnight Mitchel - Algebra - 1845 - 308 pages
...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...first by the second, plus the square of the second. 17. Multiply a — b by a — b. The product is a2 — 2a6+62 ; from which we perceive, that the square... | |
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The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 
