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The number of terms in the expansion of $(1+5 \sqrt{2} x)^9+(1-5 \sqrt{2} x)^9$, is
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Verified Answer
The correct answer is:
5
5
We have,
$(1+5 \sqrt{2} x)^9+(1-5 \sqrt{2} x)^9$
$=2\left\{{ }^2 C_0+{ }^9 C_2(5 \sqrt{2} x)^2+\ldots+{ }^9 C_8(5 \sqrt{2} x)^8\right\}$
Clearly, it has 5 terms.
$(1+5 \sqrt{2} x)^9+(1-5 \sqrt{2} x)^9$
$=2\left\{{ }^2 C_0+{ }^9 C_2(5 \sqrt{2} x)^2+\ldots+{ }^9 C_8(5 \sqrt{2} x)^8\right\}$
Clearly, it has 5 terms.
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