Complete the following sentences by providing the correct words or phrases. v This week, I learned about (1.)_ v To reduce a rational algebraic expression to simplest form, there are steps to follow. First (2.) (3.) (4.) then and lastly v For instance, in reducing x²+ x=2 x42x-3 it should be written as: x*+ x-2 = (5.) = (6.). = (7.) x2+2x-3

Elementary Algebra
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Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter8: Rational Expressions And Equations
Section8.3: Add And Subtract Rational Expressions With A Common Denominator
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Complete the following sentences by providing
the correct words or phrases.
v This week, I learned about (1.)_
v To reduce a rational algebraic expression to simplest form, there are steps to follow. First
(2.)
(3.)
(4.)
then
_, and lastly
x2+ x-2
For instance, in reducing 242x-3
it should be written as:
x*+x-2
x2+2x-3
= (5.).
= (6.).
= (7.)
V It is also possible to encounter a certain case where a factor in the numerator is in opposite sign of
a factor in the denominator. In this situation, I need to factor (8.)
the factors will be equivalent.
so that
2x2- 8x
v Just like in solving
it should be written as
12 -3x
2x?- 8x
= (9.)
12 -3x
= (10.)
= (11.)
= (12.).
%3D
In general, given an expression a + 0, the rational expression a over the opposite of a is equal to
(13.).
that is, 4= (14.).
Finally, I can say that a rational expression is in simplest form when its numerator and
denominator have (15.)
Transcribed Image Text:Complete the following sentences by providing the correct words or phrases. v This week, I learned about (1.)_ v To reduce a rational algebraic expression to simplest form, there are steps to follow. First (2.) (3.) (4.) then _, and lastly x2+ x-2 For instance, in reducing 242x-3 it should be written as: x*+x-2 x2+2x-3 = (5.). = (6.). = (7.) V It is also possible to encounter a certain case where a factor in the numerator is in opposite sign of a factor in the denominator. In this situation, I need to factor (8.) the factors will be equivalent. so that 2x2- 8x v Just like in solving it should be written as 12 -3x 2x?- 8x = (9.) 12 -3x = (10.) = (11.) = (12.). %3D In general, given an expression a + 0, the rational expression a over the opposite of a is equal to (13.). that is, 4= (14.). Finally, I can say that a rational expression is in simplest form when its numerator and denominator have (15.)
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