Question

(x-y)³ =




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Solve the given identity !!!​

Answer 1

Answer:

x3+3x2y+3xy2+y3

Explanation:

By answer, I assume you mean the expanded form?

(x+y)3=(x+y)(x+y)(x+y)

taking the first two:

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

=x2+xy+yx+y2

=x2+2xy+y2.

This gives us

(x+y)3=(x2+2xy+y2)(x+y)

this can be expanded out into:

x(x2+2xy+y2)+y(x2+2xy+y2)=x3+2x2y+xy2+yx2+2xy2+y3

this can be simplified into

x3+3x2y+3xy2+y3

so (x+y)3=x3+3x2y+3xy2+y3

Answer 2

x³-y³+3x²y-3y²x

I hope it helped you