Simplify the following using the identity (x + a)(x + b)= x² + x(a + b) + ab :
(i) (x + 3)(x + 5)
(ii) (y + 8)(y + 6)
(iii) 43 x 36

Factorise 9x² + 30xy + 25y²

Using the identity (x + a)(x + b) = x² + x(a + b) + ab , find the following product.
(6a + 9)(6a − 5)

Expand the following squares, using suitable identities.
(b - 7)²

Expand the following squares, using suitable identities.
(xyz - 1)²