27x^3+125y^3+135x^2 y+225xy^2
FACTORISE THIS POLYNOMIAL
Answers
Answer:
Step-by-step explanation:
Equation at the end of step 1
(((27•(x3))+((135•(x2))•y))+(225x•(y2)))+53y3
STEP
2
:
Equation at the end of step
2
:
(((27•(x3))+((135•(x2))•y))+(32•52xy2))+53y3
STEP
3
:
Equation at the end of step
3
:
(((27•(x3))+((33•5x2)•y))+(32•52xy2))+53y3
STEP
4
:
Equation at the end of step
4
:
((33x3 + (33•5x2y)) + (32•52xy2)) + 53y3
STEP
5
:
Checking for a perfect cube
5.1 Factoring: 27x3+135x2y+225xy2+125y3
.
27x3+135x2y+225xy2+125y3 is a perfect cube which means it is the cube of another polynomial
In our case, the cubic root of 27x3+135x2y+225xy2+125y3 is 3x+5y
Factorization is (3x+5y)3
Final result :
(3x + 5y)3
Answer:
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