Question

factorize 64m^3+27n^3​

Answer 1

Answer:

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (64 • (m3)) -  33n3

STEP  

2

:

Equation at the end of step

2

:

 26m3 -  33n3

STEP

3

:

Trying to factor as a Difference of Cubes

3.1      Factoring:  64m3-27n3  

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

             (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0+b3 =

           a3+b3

Check :  64  is the cube of  4  

Check :  27  is the cube of   3  

Check :  m3 is the cube of   m1

Check :  n3 is the cube of   n1

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BY Tolety Roshan  

Answer 2

Answer:

if you are doing this pls explain