15.Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given :
i)Area $$25a^2 - 35a + 12$$
ii)Area $$35y^2 + 13y - 12$$
i)We have area of rectangle $$= 25a^2 - 35a + 12$$
$$= 25a^2 - 20a - 15a + 12$$
$$= 5a(5a - 4) - 3(5a - 4)$$
$$= (5a - 4)(5a - 3)$$
ii)We have area of rectangle $$= 35y^2 + 13y - 12$$
$$= 35y^2 - 15y + 28y - 12$$
$$= 5y(7y - 3) + 4(7y - 3)$$
$$= (7y - 3)(5y + 4)$$