Question

8a^3-125b^3-6a^2b+150ab^2​

Answer 1

Answer:

Step-by-step explanation:

Equation at the end of step  1  :

 (((8•(a3))+((60•(a2))•b))+(150a•(b2)))+53b3

Step  2  :

Equation at the end of step  2  :

 (((8•(a3))+((60•(a2))•b))+(2•3•52ab2))+53b3

Step  3  :

Equation at the end of step  3  :

 (((8•(a3))+((22•3•5a2)•b))+(2•3•52ab2))+53b3

Step  4  :

Equation at the end of step  4  :

 ((23a3 +  (22•3•5a2b)) +  (2•3•52ab2)) +  53b3

Step  5  :

Checking for a perfect cube :

5.1    Factoring:  8a3+60a2b+150ab2+125b3  

.

 8a3+60a2b+150ab2+125b3  is a perfect cube which means it is the cube of another polynomial  

In our case, the cubic root of  8a3+60a2b+150ab2+125b3  is  2a+5b  

Factorization is  (2a+5b)3

Final result :

 (2a + 5b)3