Question

how can solve 27a3b3 - 18a2b3 + 75a3b2 this problem

Answer 1

Given 27a^3b^3 - 18a^2b^3 + 75a^3b^2.    ------- (1)

we know that a^b + c = a^b * a^c.

(1) 75a^3b^2 = 75a^2ab^2   ----- (2)

(2) 18a^2b^3 = a^2b^2b   ------ (3)

(3)27a^3b^3 = a^2ab^2b.   ----- (4)


Substitute (2),(3),(4) in (1), we get


 27a^2ab^2b - 18a^2b62b + 75a^2ab^2


Take out the common factors. = 3.


= 3a^2b^2(25a + 9ab  - 6b).


Hope this helps!