1. Find the H.C.F of the following. I. 2 +2,2 − 4,2 +3+2 II. (+)2,2 − 2,22 + −2 III. 4−20,2 −25, 2 −3−20
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Answer:
24(6x
4
−x
3
−2x
2
)
=2
3
×3×x
2
(6x
2
−x−2)
=2
3
×3×x
2
(3x−2)(2x+1)
=20(2x
6
+3x
5
+x
4
)=20x
4
(2x
2
+3x+1)
=2
2
×5×x
4
(x+1)(2x+1)
HCF of the two expression is
=2
2
x
2
(2x+1)=4x
2
(2x+1)
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