Expand the following (a) (3x +1/y)^2 (b)(x^2-2y)^2
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Answer:
On using binomial expansion, we get
(3x+2y)
4
=(3x)
4
+
4
C
1
(3x)
3
(2y)+
4
C
2
(3x)
2
(2y)
2
+
4
C
3
(3x)(2y)
3
+
4
C
4
(2y)
4
On solving we get
(3x+2y)
4
=81x
4
+216x
3
y+216x
2
y
2
+96xy
3
+16y
4
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