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irakobra [83]
2 years ago
13

What is the coeffieent of (x^4)(y^4) in the expansion of (x+y)^8

Mathematics
1 answer:
kap26 [50]2 years ago
4 0
ANSWER

The coefficient is 70.

EXPLANATION

The given binomial expression is

(x+y)^8

The specific term of a binomial expansion can be determined using the formula,

T_{r+1}= nC_ra^{n-r}b^r
where

n=8,r=4,a=x,b=y

We substitute these values into the formula to get,

T_{4+1}= 8C_4x^{8-4}y^4

We simplify to get,

T_{5}= 70x^{4}y^4

Hence the coefficient is 70.
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