Math, asked by stuambati011400, 2 months ago

27x^3+125y^3+135x^2 y+225xy^2
FACTORISE THIS POLYNOMIAL

Answers

Answered by 10694
0

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

Answered by alltimeindian6
0

Answer:

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