If x = 4 , then find x + 6 - 2

If |x| lt 1 , then find the sum of the serires 2+ 4x + 6x^(2) + 8x^(3) + …….. .

The function f(x)={{-x^(2)+6, if 0<=x<2 },{ x-1, if 2<=x<=4 }, then find if f(x) is continuous, differentiable or both.

If 4^(x)=256, then find the value of 6^(2x-8)

If x=5-2sqrt6 then find x^4-1/x^4

If (x + 6) is a factor of f (x) = x ^(3) + 3x ^(2) + 4x + P, then find the value of P.

If X = 2x^(2) , Y = 4x^(6) - 6x^(4) , then find the value of (Y)/(X) when x = 1 .

If y=6 x^(5)-4x^(4)+2x^(2)+3x+2 , then find (dy)/(dx) at x=-1.

If sqrt((125 a^(6) b^(4) c^(2))/(5a^(4) b^(2))) = x, " then find " (x^(2))/(abc)