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Question
Select the correct answer from the given alternatives.
The number of terms in expansion of (4y + x)8 − (4y − x)8
Options
4
5
8
9
Solution
4
Explanation;
(4y + x)8 has 9 terms, (4y – x)8 has 9 terms
Their difference
= `2[""^8"C"_1 (4y)^7 x + ""^8"C"_3 (4y)^5 x^3 + ""^8"C"_5 (4y)^3 x^5 + ""^8"C"_7 (4y)x^7]`
Required number = 4
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