1.

Factorise y^3-64 please help​

Answer»

Step-by-step explanation:

y

3

−

4

3

=

(

y

−

4

)

(

y

2

+

4

y

+

16

)

Explanation:

y

3

−

64

is a difference of CUBES,

a

3

–

b

3

=

(

a

–

b

)

(

a

2

+

a

b

+

b

2

)

, where

a

=

y

and

b

=

4

.

Rewrite the EQUATION.

(

y

)

3

−

(

4

)

3

=

(

y

−

4

)

(

y

2

+

(

y

⋅

4

)

+

4

2

)

Simplify.

y

3

−

4

3

=

(

y

−

4

)

(

y

2

+

4

y

+

16

)

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