Factorise the following :
`(3x + 2y)^(2) - (5x - 3y)^(2)`

Factorise the following : (3x + 2y) (a -b) + (3x - 2y) ( a -b)

Factorise the following : x^(2)(x + y) + y^(2) (x + y)

Factorise the following : (i) 9a^(2)-b^(2) " " (ii) 81x^(3)-x " " (iii) x^(3)-49xy^(2) " " (iv) a^(2)-(b-c)^(2) (v) (x-y)^(3)-x+y " " (vi)x^(2)y^(2)+1-x^(2)-y^(2) " " (vii) 25(a+b)^(2)-49(a-b)^(2) " " (viii) xy^(5)-x^(5)y (ix) x^(8)-256 " " (x) x^(8)-81y^(8)

Factorise: 49 (2x + 3y) ^(2) - 70 ( 4x ^(2) - 9 y ^(2)) + 25 ( 2 x - 3y ) ^(2)

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))