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x^(3)-2x^(2)y+3xy^(2)-6y^(3)...

x^(3)-2x^(2)y+3xy^(2)-6y^(3)

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Find the asymptotes of the following curves: y^(3)-3x^(2)y+xy^(2)-3x^(3)+2x^(2)+2xy+4x+5y+6=0

Factorize: x^3-2x^2y+3x y^2-6y^3

x^(3)+x^(2)y+xy^(2)+y^(3)

x^(3) + x^(2)y+ xy^(2) + y^(3) = 81

Divide 36x^(2)y^(5)+42xy^(3)-24x^(3)y^(2)-12y^(5) by -6y^(2) .

Add : x^(3) - x^(2)y + 5xy^(2) + y^(3) , -x^(3) - 9xy^(2) + y^(3), 3x^(2)y + 9xy^(2)

Veriffy : (i) x^(3)+y^(3)=(x+y)(x^(2)-xy+y^(2))x^(3)-y^(3)=(x-y)(x^(2)+xy+y^(2))

Simplify: (x^(3)-y^(3))/(3x^(2)+9xy+6y^(2))xx(x^(2)+2xy+y^(2))/(x^(2)-y^(2))

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c