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Algebra

Cool goIITian

Joined:	4 Jun 2007
Post:	44

19 Jun 2007 12:49:08 IST

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621

help me pls........

None

can someone pls tell me what is the formula for (1+x)^n_??????????

also

what is (x+y)^{n_????????????}

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puneet

Forum Expert

Joined: 19 Oct 2006

Posts: 1966

19 Jun 2007 12:52:55 IST

Like 2 people liked this

hey

here is the answer

If n is a +ve integer and x₁ y are 2 complex number then .
(x + y)ⁿ=

ⁿ C_r x^n-r y^r

= ⁿC_oXⁿ + ⁿC₁ X^n-1 y + ⁿC₂ X^n-2 y² +............+ ⁿC_n yⁿ

Similarly (x - y) ⁿ = ⁿCoXⁿ - ⁿC₁ X^n-1 y + ⁿC₂ X^n-2 y² +.......+ (-1) ⁿ ⁿC_n yⁿ

The oefficients ⁿ C_o, ⁿC₁, .................ⁿC_n are called Bionomial coeff.

I hope this helps

cheers

Dilip Lalwani

Cool goIITian

Joined: 14 May 2007

Posts: 93

19 Jun 2007 13:02:48 IST

Like 1 people liked this

(a+b)ⁿ=ⁿC₀ aⁿ+ ⁿC₁ a^n-1b + ⁿC₂ a^n-2 b² +..............ⁿC_n bⁿ

^{The above is for a,b}

^{apply same formula for x,y}

^and1,x

^{plz rate me for my help if useful}

pushkar limaye

Cool goIITian

Joined: 4 Jun 2007

Posts: 44

19 Jun 2007 17:30:29 IST

Like 0 people liked this

thanks friends for your useful help

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