Homework SourseProblem 1 Perform the indicated operations Express your answ
Problem #1
Perform the indicated operations. Express your answer in reduced form.
Problem #2
Perform the indicated operations. Express your answer in reduced form.
Problem #3
Perform the indicated operations. Express your answer in reduced form.
Problem #4
Perform the indicated operations. Express your answer in reduced form.
Problem #5
Split into a sum or difference of reduced fractions.
Problem #6
Split into a sum or difference of reduced fractions.
Problem #7
Multiply and simplify your answer.
Problem #8
Perform the indicated operation. Note that the denominators are the same. Simplify the result, if possible.
Problem #9
Perform the indicated operation. Simplify the result, if possible.
Problem #10
Perform the indicated operation. Note that the denominators are the same. Simplify the result, if possible.
Problem #11
Perform the indicated operation. Simplify the result, if possible.
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Problem #2 Perform the indicated operations. Express your answer in reduced form.
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![\"\\frac{x^{2}-16y^{2}}{x}](\"https://webwork2.fortlewis.edu/webwork2_files/tmp/equations/e5/8cf796aa8d01342cb8fd9cffabd32b1.png\")
![\"\\frac{4x^{2}+6x-1}{8x^{2}-26x+15}](\"https://webwork2.fortlewis.edu/webwork2_files/tmp/equations/c3/632639daff3e4073e47a2efd519c271.png\")
![\"\\frac{x+7}{x-4}](\"//webwork2.fortlewis.edu/webwork2_files/tmp/equations/fd/a78734d52be02178b52c4ff86d8d011.png\")
![\"\\frac{x^{2}-1}{x^{2}-6x+8}](\"https://webwork2.fortlewis.edu/webwork2_files/tmp/equations/e9/bb140adbf47defc688592ad98c85121.png\")
![\"\\frac{x^{2}+11}{x^{2}-2x-3}](\"//webwork2.fortlewis.edu/webwork2_files/tmp/equations/f2/13a0c934e73ec9f666add5a9f769ba1.png\")
Solution
1) 5/x^7 - 6/x
taking as x^7 as lcd : (5-6x^6)/x^7
2) 8/(x^2 +10x +21) +7/(x+3)
factorise :x^2+10x +21 =x^2 +7x +3x +21 = (x +7)(x+3)
8/(x^2 +10x +21) +7/(x+3) = 8/(x+7)(x+3) +7/(x +3)
taking (x +7)(x+3) as lcd:
8/(x^2 +10x +21) +7/(x+3) = ( 8 + 7(x+7) )/(x+3)(x+7)
= (7x+15)/(x+3)(x+7)
3) 7/(x-7)^2(x+1) -9/(x-7)
taking (x-7)^2(x+1) as lcd:
( 7 -9(x-7)(x+1) )/((x-7)^2(x+1)
( 7 - 9x^2+54x+63)/(x-7)^2(x+1)
=( -9x^2 +54x +70)/(x-7)^2(x+1)
4) 6/x^1/2 - 4/(x)^7/2
taking x^7/2 as lcd:
(6x^3 -4)/x^7/2
