Divide as directed: `26xy(x+5)(y-4):-13x(y-4)`

Divide as directed: 20(y+4)(y^2+5y+3):-5(y+4)

Factorize the expressions and divide them as directed: 12xy(9x^2-16y^2):-4xy(3x+4y)

Factorize the expressions and divide them as directed: 39y^3(50y62-98):-26y^2(5y+7)

Find the equations of the tangent to the given curves at the indicated points: y=x^(4) -6x^(3)+13x^(2)-10x+5 1 at (0,5)

Find the equations of the tangent to the given curves at the indicated points: y=x^(4)-6x^(3)+13x^(2)-10x+5 at (1,3)

Factories the following using appropriate identities: (i) 9x^2+6xy+y^2 (ii) 4y^2-4y+1 (iii) x^2-y^2/100

Find the quotient and remainder when 6 x^(4) + 11x^(3) + 13x^(2) - 3x + 27 is divided by 3x + 4. Also check the remainder obtained by using remainder theorem.

Solve: (x+y)/(xy)=2 and (x-y)/(xy)=6

Factorize the expressions: 6xy-4y+6-9x

Find dy/dx if y=13x-y^2