" (iii) "1-2ab-(a^(2)+b^(2))

Factorise the difference: (i)3-12(a-b)^(2)(ii)1-2ab-(a^(2)+b^(2))

Factorize each of the following expressions: 1-2ab-(a^(2)+b^(2))

Factorize each of the following expressions: a^(2)-b^(2)-a-b25x^(2)-10x+1-36y^(2)1-2ab-(a^(2)+b^(2))

Factorize each of the following expressions: x^(2)+2xy+y^(2)-a^(2)+2ab-b^(2)25x^(2)-10x+1-36y^(2)1-2ab-(a^(2)+b^(2))

Factorise : 1 + 2 ab - (a ^(2) + b ^(2))

Factroize (i) x^2-1-2a-a^2 (ii) 1+2ab-(a^2+b^2)

If the length of perpendicular from origin to the line ax+by+a+b=0 is p , then show that : p^(2)-1=(2ab)/(a^(2)+b^(2))

(i ) If the length of perpendicular from origin to the line ax+by+a+b=0 is p , then show that : p^(2)-1=(2ab)/(a^(2)+b^(2)) (ii) If the length of perpendicular from point (1,1) to the line ax-by+c=0 is unity then show that : (1)/(a)-(1)/(b)+(1)/(C )=(c )/(2ab)

If a and b are real and i=sqrt(-1) then sin[i ln((a+ib)/(a-ib))] is equal to 1) (2ab)/(a^(2)-b^(2)) 2) (-2ab)/(a^(2)-b^(2)) 3) (2ab)/(a^(2)+b^(2)) 4) (-2ab)/(a^(2)+b^(2))

Show that the tangent of an angle between the lines (x)/(a) + (y)/( b) = 1 and (x)/( a) - (y)/( b) = 1 is (2 ab)/( a^(2) - b^(2) ) .