[=(2x-4)(3x-4)],[(1)9x^(2)+6xy+y^(2)quad (ii)4y^(2)-4y+1]

(3x+4)(2x-3)+(5x-4)(x+2)

(5x-3)(x+4)=(2x+5)(3x-4)

The GCD of (2x^(2)-4x), (3x^(4)-12x^(2)) and (2x^(5)-2x^(4)-4x^(3)) is :

3x-(x-2)/(3)=4-(x-1)/(4)

The series expansion of log[(1 + x)^((1 + x))(1-x)^(1-x)] is (1) 2[(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (2) [(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (3) 2[(x^(2))/(1.2) + (x^(4))/(2.3)+(x^(6))/(3.4)+...] (4) 2[(x^(2))/(1.2) -(x^(4))/(2.3)+(x^(6))/(3.4)-...]

The series expansion of log_(e) [(1 + x^((1 + x))(1-x)^(1-x)] is (1) 2[(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (2) [(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (3) 2[(x^(2))/(1.2) + (x^(4))/(2.3)+(x^(6))/(3.4)+...] (4) 2[(x^(2))/(1.2) -(x^(4))/(2.3)+(x^(6))/(3.4)-...]

lim_(x rarr2)(x^(2)-4)/(x^(3)-4x^(2)+4x)

If y=sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5))) , find (dy)/(dx) .

If (2x^(2)+3x+4)/((x+2)^(4))=(A)/((x+2))+(2)/((x+2)^(2))-(5)/((x+2)^(3))+(6)/((x+2)^(4)) , then A= _________.