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Q.

How many terms are there in the expansion  of (4x+7y)10+(4x-7y)10?

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a

5

b

6

c

11

d

12

answer is A.

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Detailed Solution

(4x+7y)10+(4x-7y)10=(4x)10+C1   10(4x)9(7y)+C2   10(4x)8(7y)2+…+(7y)10-(4x)10-C1   10(4x)9(7y)+C2   10(4x)8(7y)2+…+(7y)10=2C  101 (4x)9(7y)+C3   10(4x)7+C5   10(4x)8(7y)2+..+(7y)10 Therefore, required number of terms =5 .
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