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

Factroize (i) (x^3-x) (ii) 18a^2x^2-32) (iii) (2a^5-32a) .

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

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

Evaluate: (i) int1/(a^2-b^2\ x^2)\ dx (ii) int1/(a^2\ x^2-b^2)\ dx

Evaluate: (i) int1/(a^2-b^2\ x^2)\ dx (ii) int1/(a^2\ x^2-b^2)\ dx

factorize : ab(x^2+1)+x(a^2+b^2)

tan (i log ((a-ib)/(a+ib))) = (i) ab (ii) (2ab)/(a^(2) -b^(2)) (iii) (a^( 2) -b^(2))/(ab) (iv) (2ab)/(a^(2)+b^(2))

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))

Factorize (i) ab+bc +ax +cx (ii) x^2+3x+x+3 (iii) 6ab-b^2+12ac-2bc (iv) a^2-b-ab -a

If a = 2 and b = 3, find the value of (i) a + b (ii) a^(2) + ab (iii) ab - a^(2) (iv) 2a - 3b (v) 5a^(2) - 2ab (vi) a^(3) - b^(3)