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Algebea 2
Name
Damie Faidriy
10: 1
Rational Expressions / Equations QUVZ
Deve 51312024 Ferios 8


(p^(2)-6p-27)/(p^(2)-17 p+72)
A) 
(p-8)/(p+3);{9,-3}
B) 
(9p^(2))/(p+8);{1,-8}
C) 
(p(p+1))/(5p+6);(-(6)/(5))
D) 
(p+3)/(p-8);{9,8}

Simplify each expression.
2) 
(2)/(b+1)+(3)/(b-5)
3) 
(6)/(n-2)-(5)/(n+3)
A) 
(18 b+5-2b^(2))/(6b(b-1))
A) 
(25-4n^(3)+12n^(2))/(10 n)
B) 
(23 b+5-4b^(2))/(6b(b-1))
B) 
(n+28)/((n-2)(n+3))
C) 
(15 b+5-2b^(2))/(6b(b-1))
C) 
(2)/(n-10)
D) 
(5b-7)/((b-5)(b+1))
D) 
(2+n)/(n-10)
4) 
(7n)/(3n^(2)-12 n-15)*(9n^(2)-18 n-27)/(3n-9)
A) 
(7n)/(n-5)
B) 
(4(n+4))/(n-6)
C) 
(6n)/(n+5)
D) 
(n+4)/(6)
5) 
(18 n-12)/(6n^(2)+2n-4)+(n+3)/(2n+2)
A) 9
B) 
(6)/(n+3)
C) 
(n-2)/(10 n)
D) 
(3)/(n+3)

-1-

Algebea 22\newlineName\newlineDamie Faidriy\newline1010: 11\newlineRational Expressions / Equations QUVZ\newlineDeve 5131202451312024 Ferios 88\newline11) p26p27p217p+72 \frac{p^{2}-6 p-27}{p^{2}-17 p+72} \newlineA) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} \newlineB) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} \newlineC) p(p+1)5p+6;(65) \frac{p(p+1)}{5 p+6} ;\left(-\frac{6}{5}\right) \newlineD) p+3p8;{9,8} \frac{p+3}{p-8} ;\{9,8\} \newlineSimplify each expression.\newline22) 2b+1+3b5 \frac{2}{b+1}+\frac{3}{b-5} \newline33) 6n25n+3 \frac{6}{n-2}-\frac{5}{n+3} \newlineA) 18b+52b26b(b1) \frac{18 b+5-2 b^{2}}{6 b(b-1)} \newlineA) 254n3+12n210n \frac{25-4 n^{3}+12 n^{2}}{10 n} \newlineB) 23b+54b26b(b1) \frac{23 b+5-4 b^{2}}{6 b(b-1)} \newlineB) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 00\newlineC) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 11\newlineC) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 22\newlineD) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 33\newlineD) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 44\newline44) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 55\newlineA) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 66\newlineB) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 77\newlineC) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 88\newlineD) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 99\newline55) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 00\newlineA) 99\newlineB) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 11\newlineC) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 22\newlineD) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 33\newline9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 44

Full solution

Q. Algebea 22\newlineName\newlineDamie Faidriy\newline1010: 11\newlineRational Expressions / Equations QUVZ\newlineDeve 5131202451312024 Ferios 88\newline11) p26p27p217p+72 \frac{p^{2}-6 p-27}{p^{2}-17 p+72} \newlineA) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} \newlineB) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} \newlineC) p(p+1)5p+6;(65) \frac{p(p+1)}{5 p+6} ;\left(-\frac{6}{5}\right) \newlineD) p+3p8;{9,8} \frac{p+3}{p-8} ;\{9,8\} \newlineSimplify each expression.\newline22) 2b+1+3b5 \frac{2}{b+1}+\frac{3}{b-5} \newline33) 6n25n+3 \frac{6}{n-2}-\frac{5}{n+3} \newlineA) 18b+52b26b(b1) \frac{18 b+5-2 b^{2}}{6 b(b-1)} \newlineA) 254n3+12n210n \frac{25-4 n^{3}+12 n^{2}}{10 n} \newlineB) 23b+54b26b(b1) \frac{23 b+5-4 b^{2}}{6 b(b-1)} \newlineB) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 00\newlineC) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 11\newlineC) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 22\newlineD) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 33\newlineD) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 44\newline44) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 55\newlineA) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 66\newlineB) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 77\newlineC) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 88\newlineD) p8p+3;{9,3} \frac{p-8}{p+3} ;\{9,-3\} 99\newline55) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 00\newlineA) 99\newlineB) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 11\newlineC) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 22\newlineD) 9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 33\newline9p2p+8;{1,8} \frac{9 p^{2}}{p+8} ;\{1,-8\} 44
  1. Identify common denominator: Identify common denominator for the addition of fractions.
  2. Rewrite with common denominator: Rewrite each fraction with the common denominator.
  3. Add fractions: Add the two fractions.
  4. Combine numerators: Combine the numerators over the common denominator.

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