Question

factorization 36a^2 + 12abc+ 15b^2c^2​

Answer 1

Answer:

36a² + 12abc + 15 b² c²

.....

Answer 2

Answer:

Here, coefficient of a2 = 36, coefficient of a = 12bc and constant term = - 15b2c2

We shall now split up the coefficient of middle term i.e., 12bc into two parts whose sum is 12bc and product is 36 (-15b2c2) = - 500b2c2

So, we replace middle term 12abc = 30abc – 18abc

Thus, we have

36a2 –12abc– 15b2c2 = 36a2 + 30abc – 18abc – 15b2c2

= (6a + 5bc) (6a – 3bc)