English, asked by murarisingh197896875, 7 months ago

factorize 8x^3-27y^3

Answers

Answered by prakratiaswani
1

Answer:

Explanation:

Rewrite  

8

x

3

as  

(

2

x

)

3

.

(

2

x

)

3

27

y

3

Rewrite  

27

y

3

as  

(

3

y

)

3

.

(

2

x

)

3

(

3

y

)

3

Since both terms are perfect cubes, factor using the difference of cubes formula,  

a

3

b

3

=

(

a

b

)

(

a

2

+

a

b

+

b

2

)

where  

a

=

2

x

and  

b

=

3

y

.

(

2

x

(

3

y

)

)

(

(

2

x

)

2

+

2

x

(

3

y

)

+

(

3

y

)

2

)

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