what should be suntract from 7x/x²+x-12 to get 3/x-3
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Answered by
1
Answer:- Correct option is
A
2x−1
5x
2
−7x+6
Let the rational expression be A that must be subtracted from
2x−1
4x
3
−7x
2
+5
to get 2x
2
−5x+1, therefore, we have:
2x−1
4x
3
−7x
2
+5
−A=2x
2
−5x+1
⇒A=
2x−1
4x
3
−7x
2
+5
−
1
2x
2
−5x+1
⇒A=
2x−1
(4x
3
−7x
2
+5)−(2x−1)(2x
2
−5x+1)
(TakingLCM)
⇒A=
2x−1
(4x
3
−7x
2
+5)−(4x
3
−10x
2
+2x−2x
2
+5x−1)
⇒A=
2x−1
(4x
3
−7x
2
+5)−(4x
3
−12x
2
+7x−1)
⇒A=
2x−1
4x
3
−7x
2
+5−4x
3
+12x
2
−7x+1
⇒A=
2x−1
5x
2
−7x+6
Hence,
2x−1
5x
2
−7x+6
should be subtracted from
2x−1
4x
3
−7x
2
+5
to get 2x
2
−5x+1.
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2
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