" (c) "x^(3)+6x^(2)y+12xy^(2)+7y^(3)

If x=4+(1)/(a) and y=2-(1)/(2a) , what is the value of (x^(3)+6x^(2)y+12xy^(2)+8y^(3)) ?

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

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: (i) 6x^(5) + 18 x^(4) - 3x^(2) by 3x^(2) (ii) 20 x^(3) y + 12 x^(2) y^(2) - 10 xy by 2xy

Factorize: x^(3)+8y^(3)+6x^(2)y+12xy^(2)

Add: (i) 3x, 7x (ii) 7y, -9y (iii) 2xy, 5xy, -xy (iv) 3x, 2y (v) 2x^(2), -3x^(2), 7x^(2) (vi) 7xyz, -5xyz, 9xyz, - 8xyz (vii) 6a^(3) , - 4a^(3), 10 a^(3), - 8a^(3) (viii) x^(2) - a^(2), -5x^(2) + 2a^(2), -4x^(2) + 4a^(2)

Divide: (i) 5m^(2) - 30 m^(2) + 45m by 5m (ii) 8x^(2) y^(2) - 6xy + 10 x^(2) y^(3) by 2xy (iii) 9x^(2) y - 6xy + 12 xy^(2) by - 3xy (iv) 12x^(4) + 8x^(3) - 6x^(2) by -2x^(2)

Identify like terms in the following: -x^(2)y, - 4y^(2)x, 7y^(2), 2x^(2)y, 3y, - 4y^(2), - 100y, 12xy, 10xy^(2), - 6y^(2)x^(2), 4yx, 11x^(2)y^(2) .

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