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3241004551 [841]
3 years ago
8

Which set of coefficients of the terms in the expansion of the binomial (x+y)^3 is correct ?

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
7 0
The expansion of (x+y)^3 is x^3 +3x^2×y+3x×y^2+y^3 the coefficients are 1,3,3,1
BigorU [14]3 years ago
4 0
We are technically FOILing this out... with a power of 3.

(x+y)(x+y)(x+y)

So we can first factor out the first two "x+y"s.

( x^{2} +2xy + y^{2} ), multiplied by the last "x+y".

x^{3} +3 x^{2} y +3x y^{2} + y^{3}

Coefficients are the number that comes in front of a variable. 

In this case, 1 comes in front of x^{3}, 3 comes in front of x^{2} y, 3 comes in front of x y^{2}, and 1 comes in front of y^{3}.

Thus: 1, 3, 3, 1.
         Answer Choice A
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