subtracting and adding rationals

Oct 19th, 2015
Sigchi4life
Category:
Mathematics
Price: $10 USD

Question description

Find the LCD of the rational expressions.

fraction numerator 3 over denominator 2 a minus 4 end fraction comma space fraction numerator a over denominator 5 a minus 10 end fraction


a. 10 a squared minus 40 a space plus space 40

b. 10 a minus 20

c. 10 a squared minus 40

d. 10 a squared plus space 40



Find the LCD of the rational expressions.

fraction numerator 5 over denominator 4 x squared y to the power of 4 end fraction comma space fraction numerator 3 over denominator 10 x y z end fraction


a. 20 x squared y to the power of 4 z

b. 40 x cubed y to the power of 5 z

c. 10 x y z

d. 20 x squared y to the power of 4



Add the rational expressions and simplify.

fraction numerator 4 over denominator x squared y end fraction plus space fraction numerator 2 over denominator x squared y end fraction


a. fraction numerator 4 x plus 2 x over denominator x squared y end fraction

b. fraction numerator 6 over denominator x squared y end fraction

c. fraction numerator 6 over denominator x y end fraction

d. fraction numerator 6 over denominator 2 x squared y end fraction



Subtract the rational expressions and simplify.

fraction numerator x plus 4 over denominator 4 x end fraction minus space fraction numerator x minus 4 over denominator 4 x end fraction


a. 0

b. fraction numerator 8 over denominator 4 x end fraction

c. 2 over x

d. 1 over x



Add the rational expressions and simplify.

fraction numerator 5 over denominator x squared minus 3 x space minus 28 end fraction plus fraction numerator 2 over denominator 2 x minus 14 end fraction


a. fraction numerator x plus 9 over denominator x squared minus 3 x minus 28 end fraction

b. fraction numerator x plus 9 over denominator 2 x squared minus 6 x minus 56 end fraction

c. fraction numerator x plus 10 over denominator x squared minus 3 x minus 28 end fraction

d. fraction numerator 2 x plus 18 over denominator 2 x squared minus 6 x minus 56 end fraction



Add the rational expressions and simplify.

fraction numerator x plus 3 over denominator 5 x squared plus 12 x plus 4 end fraction plus fraction numerator 6 over denominator x squared minus x minus 6 end fraction


a. fraction numerator x squared plus 30 x plus 3 over denominator 5 x cubed minus 3 x squared minus 32 x space minus 12 end fraction

b. fraction numerator x plus 9 over denominator 7 x squared plus 11 x minus 2 end fraction

c. fraction numerator x squared plus 36 x plus 21 over denominator 5 x cubed minus 3 x squared minus 32 x minus 12 end fraction

d. fraction numerator x squared plus 36 x plus 21 over denominator 5 x cubed plus 27 x squared plus 40 x plus 12 end fraction



Subtract the rational expressions and simplify. 

fraction numerator a over denominator a minus 4 end fraction minus fraction numerator 3 over denominator 4 minus a end fraction


a. fraction numerator 3 minus a over denominator 4 minus a end fraction

b. fraction numerator minus a minus 3 over denominator 4 minus a end fraction

c. fraction numerator a minus 3 over denominator a minus 4 end fraction

d. fraction numerator minus a plus 3 over denominator 4 minus a end fraction



Subtract the rational expressions and simplify.

fraction numerator x over denominator x squared plus 5 x plus 6 end fraction minus space fraction numerator 2 over denominator x squared minus 9 end fraction


a. fraction numerator x squared minus 5 x plus 4 over denominator x cubed plus 2 x squared minus 9 x minus 18 end fraction

b. fraction numerator x minus 2 over denominator 5 x minus 3 end fraction

c. fraction numerator x squared minus 5 x space minus 4 over denominator x cubed plus 2 x squared minus 9 x minus 18 end fraction

d. fraction numerator x minus 2 over denominator 5 x plus 15 end fraction



Perform the indicated operation and simplify.

fraction numerator 2 over denominator x plus 1 end fraction minus fraction numerator 3 x over denominator 3 x plus 3 end fraction plus fraction numerator 1 over denominator 2 x plus 2 end fraction


a. fraction numerator negative 6 x plus 15 over denominator 6 x plus 6 end fraction

b. fraction numerator negative 2 x plus 5 over denominator 2 x plus 2 end fraction

c. 1 half

d. fraction numerator negative 3 x plus 3 over denominator 0 end fraction



Perform the indicated operation and simplify.

fraction numerator 3 over denominator x squared minus 9 end fraction plus fraction numerator 3 over denominator x squared minus 6 x plus 9 end fraction minus fraction numerator 1 over denominator x plus 3 end fraction


a. fraction numerator minus x squared minus 12 x plus 9 over denominator x to the power of 4 minus 6 x cubed plus 54 x minus 81 end fraction

b. fraction numerator minus x squared minus 12 x space plus space 9 over denominator x cubed minus 3 x squared minus 9 x plus 27 end fraction

c. fraction numerator minus x squared plus 12 x minus 9 over denominator x to the power of 4 minus 6 x cubed plus 54 x minus 81 end fraction

d. fraction numerator minus x squared plus 12 x minus 9 over denominator x cubed minus 3 x squared minus 9 x plus 27 end fraction




Tutor Answer

(Top Tutor) Daniel C.
(997)
School: UCLA
PREMIUM TUTOR

Studypool has helped 1,244,100 students

8 Reviews


Summary
Quality
Communication
On Time
Value
darnay
Dec 4th, 2016
" The best tutor out there!!!! "
dontuwannaknow
Nov 25th, 2016
" Excellent work as always thanks so much "
SjSurvivor143
Nov 12th, 2016
" Thanks for the help. "
ddg82
Nov 3rd, 2016
" Thanks, good work "
tinytim47
Oct 20th, 2016
" Wow this is really good.... didn't expect it. Sweet!!!! "
jestin7
Oct 11th, 2016
" This tutor is great! "
mixedballz
Oct 7th, 2016
" excellent work as always thanks for the help "
lilmoe415
Sep 28th, 2016
" Thank you, Thank you, for top quality work, this is your guy!! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1827 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors