Question

$(16^4) - (81^4)$
​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

The difference of squares identity can be written:

a

2

−

b

2

=

(

a

−

b

)

(

a

+

b

)

Hence we find:

16

x

4

−

81

y

4

=

(

4

x

2

)

2

−

(

9

y

2

)

2

16

x

4

−

81

y

4

=

(

4

x

2

−

9

y

2

)

(

4

x

2

+

9

y

2

)

16

x

4

−

81

y

4

=

(

(

2

x

)

2

−

(

3

y

)

2

)

(

4

x

2

+

9

y

2

)

16

x

4

−

81

y

4

=

(

2

x

−

3

y

)

(

2

x

+

3

y

)

(

4

x

2

+

9

y

2

)

The remaining quadratic factor has no linear factors with Real coefficients.