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

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

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

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

Which of the following options is not the asymptote of the curve 3x^(3)+2x^(2)y-7xy^(2)+2y^(3)-14xy+7y^(2)+4x+5y=0

Divide 14x^(3)y^(2) + 8x^(2)y^(3) - 22xy^(4) " by " -2xy^(2)

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

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

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

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

Find the equations of the tangent and the normal to the following curves : (a) 4x^(3)-3xy^(2)+6x^(2)-5xy-8y^(2)+9x+14=0 at the point (-2,3) (b) x^(5)+y^(5)-2xy=0 at the point (1,1)