Question

$14x^{6} - 45x^{3}y^{3} - 14y^{6}$

Answer 1

Answer:

$let \: {x}^{3} \: be \: a. \\ let \: {y}^{3} \: be \: b.$

$14 {a}^{2} - 45ab - 14 {b}^{2}$

Hope it helps you my dear friend

Answer 2

Answer:

By using substitution...

a

=

x

3

and

b

=

y

3

14

x

6

−

45

x

3

y

3

−

14

y

6

=

14

a

2

−

45

a

b

−

14

b

2

=

7

⋅

2

⋅

a

2

−

7

⋅

7

a

b

+

2

⋅

2

⋅

a

b

−

7

⋅

2

⋅

b

2

=

(

2

a

−

7

b

)

(

7

a

+

2

b

)

=

(

2

x

3

−

7

y

3

)

(

7

x

3

+

2

y

3

)