8xquad " (ii) "4x^(2)-4x+1

Prove that sinfrac {pi}{14} is a root of the equation 8x^(3) -4x^(2) - 4x +1 = 0 .

Factorize: x^(2)+8x+16( ii) 4a^(2)-4a+1

Factorize: x^(2)+8x+15 (ii) x^(4)+x^(2)+1 (iii) x^(4)+4

If 2x - (1)/(2x) =4 , find : (ii) 8x^(3) - (1)/( 8x^3)

Solve the follwing inequations by algebric and graphical methods. i) x^(2) – 8x + 15 gt 0 ii) 2x^(2) + 3x – 2 lt 0 iii) x^(2) - 4x + 5 gt 0 iv) 15x^(2) + 4x – 5 le 0

Factorize: x^2+8x+16 (ii) 4a^2-4a+1

lim_ (x rarr (1) / (2)) ((8x-3) / (2x-1) - (4x ^ (2) +1) / (4x ^ (2) -1))

Evaluate: (i) int1/(4x^2-4x+3)\ dx (ii) int1/(x^2+4x+8)\ (iii) int1/(9x^2+6x+10)