[" (i) "(5x^(2)-6x)-:3x],[" (iii) "8(x^(3)y^(2)z^(2)+x^(2)y^(3)z^(2)+x^(2)y^(2)z^(3))-:4x^(2)y^(2)z^(2)],[" (iv) "(x^(3)+2x^(2)+3x)-:2x]

Divide the given polynomial by the given monomial.( i (5x^(2)-6x)-:3x (ii) (3y^(8)-4y^(6)+5y^(4))-:y^(4)( iii) 8(x^(3)y^(2)z^(2)+x^(2)y^(3)z^(2)+x^(2)y^(2)z^(3))-:4x^(2)y^(2)z^(2)(iv)(x^(3)+2x^(2)+3x)-:2x(v)(p^(3)q^(6)-p^(6)q^(3))-:p^(3)q^(3)

Divide the given polynomial by the given monomial. (i) (5x^2 - 6x) -: 3x (ii) (3y^8-4y^6+5y^4)divy^4 (iii) 8(x^3y^2z^2 + x^2y^3z^2 + x^2y^2z^3) -: 4x^2y^2z^2 (iv) (x^3+2x^2+3x)div2x (v) (p^3q^6 - p^6q^3) -: p^3q^3

Find ((x^(2)-y^(2))^(3) + (y^(2) -z^(2))^(3)+ (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))

Simplify: ((x^(2)-y^(2))^(3) + (y^(2) - z^(2))^(3) + (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))

Delta_(1) = |(y^(5)z^(6) (z^(3)-y^(3)),x^(4)z^(6)(x^(3)-z^(3)),x^(4)y^(5)(y^(3)-x^(3))),(y^(2)z^(3)(y^(6)-z^(6)),xz^(3)(z^(6)-x^(6)),xy^(2)(x^(6)-y^(6))),(y^(2)z^(3)(z^(3)-y^(3)),xz^(3)(x^(3)-z^(3)),xy^(2)(y^(3)-x^(3)))| and Delta_(2)=|(x,y^(2),z^(3)),(x^(4),y^(5),z^(6)),(x^(7), y^(8),z^(9))| Then Delta_(1) Delta_(2) is equal to a) Delta_(2)^(2) b) Delta_(2)^(3) c) Delta_(2)^(4) d)None of these

Subtract 3x^(3) - 5x^(2) - 9x + 6 " from " 2x^(3) + 3y^(2) - 4z^(2) and x^(2) - 2y^(2) +z^(2)

it x_(1)^(2) +2y_(1)^(2)+3z_(1)^(2)=x_(2)^(2)+2y_(2)^(2)+3z_(2)^(2)=x_(3)^(2)+2y_(3)^(2)+3z_(3)^(2)=2 " and " x_(2)x_(3) +2y_(2)y_(3)+3z_(2)z_(3)=x_(3)x_(1)+2y_(3)y_(1)+3z_(3)z_(1)=x_(1)x_(2)+2y_(1)y_(2)+3z_(1)z_(2)=1 Then find the value of |{:(x_(1),,y_(1),,z_(1)),(x_(2),,y_(2),,z_(2)),(x_(3),,y_(3),,z_(3)):}|

Prove that : |{:((y+z)^(2),x^(2),x^(2)),(y^(2),(x+z)^(2),y^(2)),(z^(2),z^(2),(x+y)^(2)):}|=2xyz (x+y+z)^(3)

Prove that : |{:((y+z)^(2),x^(2),x^(2)),(y^(2),(x+z)^(2),y^(2)),(z^(2),z^(2),(x+y)^(2)):}|=2xyz (x+y+z)^(3)