Which of the following is a factor of (x+y)^{ | vedclass

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Question

(B) We know the algebraic identity: $(x+y)^{3} = x^{3}+y^{3}+3xy(x+y)$.Substituting this into the given expression:$(x+y)^{3}-(x^{3}+y^{3}) = [x^{3}+y

Vedclass · Accepted Answer

$3xy$

Vedclass · Answer

(B) We know the algebraic identity: $(x+y)^{3} = x^{3}+y^{3}+3xy(x+y)$.Substituting this into the given expression:$(x+y)^{3}-(x^{3}+y^{3}) = [x^{3}+y^{3}+3xy(x+y)] - (x^{3}+y^{3})$.Simplifying the expression:$= x^{3}+y^{3}+3xy(x+y) - x^{3}-y^{3}$$= 3xy(x+y)$.Since the expression simplifies to $3xy(x+y)$,the factors are $3$,$x$,$y$,and $(x+y)$.Comparing this with the given options,$3xy$ is a factor.Therefore,$(b)$ is the correct answer.

Which of the following is a factor of $(x+y)^{3}-(x^{3}+y^{3})$?

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