`(-12x+x+3)/(15x+3)=(99-4+11x)/(99x+12)`

(3x+8)/16-((12x-6)/(15x-30))+x/3=(7x)/12-((2x+16)/32)

The equation is true for (12x+1)/(4)=(15x-1)/(5)+(2x-5)/(3x-1)

If log _(10)((x^(3)-y^(3))/(x^(3)+y^(3))) = 2 , then show that (dy)/(dx) = (-99x^(2))/(101y^(2))

The equation whose roots are diminished by 1 than those of 4x^(3)-x^(2)+2x-3=0 is (A) 4x^(3)-11x^(2)+12x+2=0 (B) 4x^(3)-11x^(2)+12x-3=0 (C) 4x^(3)+11x^(2)+12x+2=0 (D) 4x^(3)+11x^(2)+12x-3=0

Fill in the blank: The value of int_(-1)^(1)(1+x+3x^(3)+5x^(5)+…+99x^(99))dx is ___________.

Simplify: ((3)/(11)x(5)/(6))-((9)/(12)x(4)/(3))+((5)/(13)x(6)/(15))

If sqrt(3x^(2)-12x + 19) + sqrt(3x^(2)-12x-11)= 16 then find sqrt(3x^(2)-12x + 19) - sqrt(3x^(2) -12x-11) = ?