#2015_19 Application of Binomial Theorem

Algebra Level 5

If coefficients of x 20 { x }^{ 20 } in ( 1 − x + x 2 ) 20 { (1-x+{ x }^{ 2 }) }^{ 20 } and in ( 1 + x − x 2 ) 20 { (1+x-{ x }^{ 2 }) }^{ 20 } are respectively a a and b b , then:

a > b a>b a < b a<b a = b a=b

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Anandhu Raj by Anandhu Raj , 23, India

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2 solutions

Jaiveer Shekhawat
Aug 27, 2015

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Isaac Buckley
Aug 20, 2015

I believe this question has been posted before. The beautiful trick is to consider f ( − x ) f(-x)

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Sorry, I thought this question was fresh on Brilliant, Should I remove it?

Anandhu Raj - 5 years, 9 months ago

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It's not up to me.

It's honestly a really great question haha. Do as you wish :)

Isaac Buckley - 5 years, 9 months ago

Yes. This is the question.

Abhishek Sinha - 5 years, 8 months ago

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Remove the link please or it would be misused!

Anandhu Raj - 5 years, 8 months ago

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