Question

Factorise: xy^3 + 729x^4

Answer 1

Answer:

so like i will tell you step by step Step-by-step explanation: xy3+729x4  

Final result :

 x • (9x + y) • (81x2 - 9xy + y2)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (x • (y3)) +  36x4

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  729x4 + xy3  =   x • (729x3 + y3)  

Trying to factor as a Sum of Cubes :

3.2      Factoring:  729x3 + y3

xy3+729x4  

Final result :

 x • (9x + y) • (81x2 - 9xy + y2)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (x • (y3)) +  36x4

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors

  729x4 + xy3  =   x • (729x3 + y3)  

Trying to factor as a Sum of Cubes :

3.2      Factoring:  729x3 + y3