Write the rational expression in simplest form. 25.x^3+5x^2+6x over x^2-4 26.x^2+8x-20 over x^2+11x+10 27.y^2-7y+12 over y^2+3y-18?
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- Write the rational expression in simplest form. 25.x^3+5x^2+6x over x^2-4 26.x^2+8x-20 over x^2+11x+10 27.y^2-7y+12 over y^2+3y-18?
Answers
Anonymous257424 | 31/03 2021 05:36
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Anonymous352400 | 31/03 2021 12:33
Anonymous201264 | 31/03 2021 16:02
Anonymous433770 | 31/03 2021 05:00
Anonymous324224 | 31/03 2021 00:08
Answer #10 | 01/09 2014 02:46
x³ + 5x² ³ + 6x
---------------------
.... x² - 4
1) Factor out an x from each term in the numerator
After you have factored, you will have this:
x ( x² + 5x + 6x )
---------------------
.... x² - 4
2) Factor the numerator and factor the denominator as the Difference of Two Squares, like this:
x ( x + 2 )( x + 3 )
---------------------
( x + 2 )( x - 2 )
3) Cancel ( x + 2 ) from the top and from the bottom, so that you end up with this:
x ( x + 3 )
-------------- <-- answer
( x - 2 )
~ ~ ~ ~ ~ ~ ~
x² + 8x - 20
------------------
x² +11x + 10
1) Factor the numerator and the denominator, like this:
( x + 10 )( x - 2 )
-----------------------
( x + 10 )( x + 1 )
2) Cancel ( x + 10 ) from the top and from the bottom, so that you end up with this:
( x - 2 )
----------- <-- Answer
( x + 1 )
~ ~ ~ ~ ~ ~ ~ ~
y² - 7y + 12
-----------------
y² +3y - 18
1) Factor the top and the bottom to see if there are any common factors that you could cancel
After you have factored, you have this:
( y - 3 )( y - 4 )
--------------------
( y - 3 )( y + 6 )
2) Cancel ( y - 3 ) from the top and the bottom, so that you end up with this:
( y - 4 )
----------- <-- Answer
( y + 6 )
Anonymous138502 | 02/04 2021 09:28
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Anonymous339439 | 01/04 2021 19:19
Anonymous598876 | 03/04 2021 11:14
Answer #50 | 01/09 2014 02:19
Possible answer
Anonymous946823
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