Math, asked by vandan74, 6 months ago

verify
(x+y)3=x3 + y3 + 3xy (x+y)​

Answers

Answered by shriya619
6

Step-by-step explanation:

... Hope it's helpful to u

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Answered by raiyanhsn
6

Step-by-step explanation:

=(x+y)^2

Now, Split the equation

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

=(x+y)^2(x+y)

=(x^2+ y^2 +2xy)(x+y)

=x(x^2+ y^2 +2xy)+ y(x^2+ y^2 +2xy)

=x^3 +xy^2 +2x^2y+ x^2y+y^3 +2xy^2

=x^3 +y^3 +3xy^2+3x^2y

taking (x+y) common between 3xy^2+3x^2y

=x^3 + y^3 + 3xy(x+y)

Hence proved

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