University Algebra
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In our eReader you can find the full English version of the book. Read University Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book University Algebra
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To quickly assess the difficulty of the text, read a short excerpt:
Here r = 8, n = 11 ; hence, the 8thtom = 1 l:2°3 9 4 8 5. 6 6 7 5 , (- 2t -)' = 330 (81 a 2 ) (- 128 b~'') = - 3421440 a 2 J- 7, ^ras.
Note. The note to Ex. 4, Art. 403, applies with equal force to examples in this article.
EXAMPLES.
Find the 2. 10th term of (a + x) 15 . 5. 5th term of (1 - a 2 ) 12 .
3. 6th term of (1 + m) u . 6. 9th term of (x~ 1 -2 y*) u .
4. 8th term of (c - d) l \ 7. 8th term of (a% + 3 x" 1 ) 10 .
405. A trinomial may he raised to any power by the Bi- nomial Theorem, if t...wo of its terms he enclosed in a paren- thesis and regarded as a single term ; the operations indicated being performed after the expansion by the Theorem has been effected.
1. Expand (2 a — b + c 2 ) 3 by the Binomial Theorem.
(2 a - b + c 2 ) 3 = [(2 a-b) + (c 2 )] 3 = (2 a - by + 3 (2 a -b) 2 (c 2 ) + 3 (2 a - b) (c 2 ) 2 + (c 2 ) 3 =Sa 3 ~12a 2 b + 6ab 2 -b 3 +3c 2 (4:a 2 -4ab + b 2 ) + 3c 4 (2a-b) + c 6 = 8 a 3 - 12 a 2 b + 6 a b 2 - b 3 + 12 a 2 c 2 - 12 a b c 2 + 3 b 2 c 2 + 6ac i -3bc 4 + c 6, Ans.
What to read after University Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Webster Wells to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Here r = 8, n = 11 ; hence, the 8thtom = 1 l:2°3 9 4 8 5. 6 6 7 5 , (- 2t -)' = 330 (81 a 2 ) (- 128 b~'') = - 3421440 a 2 J- 7, ^ras.
Note. The note to Ex. 4, Art. 403, applies with equal force to examples in this article.
EXAMPLES.
Find the 2. 10th term of (a + x) 15 . 5. 5th term of (1 - a 2 ) 12 .
3. 6th term of (1 + m) u . 6. 9th term of (x~ 1 -2 y*) u .
4. 8th term of (c - d) l \ 7. 8th term of (a% + 3 x" 1 ) 10 .
405. A trinomial may he raised to any power by the Bi- nomial Theorem, if t...wo of its terms he enclosed in a paren- thesis and regarded as a single term ; the operations indicated being performed after the expansion by the Theorem has been effected.
1. Expand (2 a — b + c 2 ) 3 by the Binomial Theorem.
(2 a - b + c 2 ) 3 = [(2 a-b) + (c 2 )] 3 = (2 a - by + 3 (2 a -b) 2 (c 2 ) + 3 (2 a - b) (c 2 ) 2 + (c 2 ) 3 =Sa 3 ~12a 2 b + 6ab 2 -b 3 +3c 2 (4:a 2 -4ab + b 2 ) + 3c 4 (2a-b) + c 6 = 8 a 3 - 12 a 2 b + 6 a b 2 - b 3 + 12 a 2 c 2 - 12 a b c 2 + 3 b 2 c 2 + 6ac i -3bc 4 + c 6, Ans.
What to read after University Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Webster Wells to read onlineMoreLess
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