subtracting and adding rationals

Oct 19th, 2015
Anonymous
Category:
Engineering
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




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