`2^(2x+3)+3^(2x+1)=10.6^x` then find `x`.

If F(x)=int((1+x)[(1-x+x^(2))(1+x+x^(2))+x^(2)])/(1+2x+3x^(2)+4x^(3)+3x^(4)+2x^(5)+x^(6))dx then find the value of [F(99)-F(3)]

x=2^((1)/(3))-2^(-(1)/(3)) then find 2x^(3)+6x

If |(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x)|=3 then find the value of |(x^(3)-1,0,x-x^(4)),(0,x-x^(4),x^(3)-1),(x-x^(4),x^(3)-1,0)|

(a) Find the HCF of 28x^(4) and 70x^(6) . (b) Find the HCF of 48x^(2) (x + 3)^(2) (2x-1)^(3) (x + 1) and 60x^(3) (x+ 3) (2x-1)^(2) (x + 2) .

If f(x)= 2x^(3)+3x^(2)-11x+6 find f(1)

If f(x)= 2x^(3)+3x^(2)-11x+6 find f(-1)

If 1/2 and 1 are zeroes of 2x^(4)-3x^(3)-3x^(2)+6x-2 find the other zeroes

If 1 and 1/2 are zeroes of 2x^(4)-3x^(3)-3x^(2)+6x-2, find the other zeroes.

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)