Is 3x^2+y^2=5 a quadratic funion

(3 x - 2 y 2) 5

Step-by-step explanation:

(a + b) n = (n 0) a n b 0 + (

n

1

)

a

n

-

1

b

1

+

(

n

2

)

a

n

-

2

b

2

+

...

+

(

n

n

-

1

)

a

1

b

n

-

1

+

(

n

n

)

a

0

b

n

Let

a

=

3

x

and

b

=

-

2

y

2

(

3

x

-

2

y

2

)

5

=

(

3

x

)

5

(

-

2

y

2

)

0

+

5

1

!

(

3

x

)

4

(

-

2

y

2

)

1

+

5

⋅

4

2

!

(

3

x

)

3

(

-

2

y

2

)

2

+

5

⋅

4

⋅

3

3

!

(

3

x

)

2

(

-

2

y

2

)

3

+

5

⋅

4

⋅

3

⋅

2

4

!

(

3

x

)

1

(

2

y

2

)

4

+

5

⋅

4

⋅

3

⋅

2

⋅

1

5

!

(

3

x

)

0

(

-

2

y

2

)

5

=

243

x

5

-

5

(

81

)

(

2

)

x

4

y

2

+

10

(

27

)

(

4

)

x

3

y

4

+

10

(

9

)

(

-

8

)

x

2

y

6

+

5

(

3

)

(

16

)

x

y

8

-

32

y

10

=

243

x

5

-

810

x

4

y

2

+

1080

x

3

y

4

-

720

x

2

y

6

+

240

x

y

8

-

32

y

10