Math, asked by jashan2006, 11 months ago

Expand:
(x-1/x +5)

can anyone help me?​

Answers

Answered by annu1401
3

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems Algebra Expand Using the Binomial Theorem (x+1/x)^5

(

x

+

1

x

)

5

Use the binomial expansion theorem to find each term. The binomial theorem states

(

a

+

b

)

n

=

n

k

=

0

n

C

k

(

a

n

k

b

k

)

.

5

!

(

5

0

)

!

0

!

(

x

)

n

k

(

1

x

)

k

+

5

!

(

5

1

)

!

1

!

(

x

)

n

k

(

1

x

)

k

+

5

!

(

5

2

)

!

2

!

(

x

)

n

k

(

1

x

)

k

+

5

!

(

5

3

)

!

3

!

(

x

)

n

k

(

1

x

)

k

+

5

!

(

5

4

)

!

4

!

(

x

)

n

k

(

1

x

)

k

+

5

!

(

5

5

)

!

5

!

(

x

)

n

k

(

1

x

)

k

Substitute in the actual expressions as well as

n

and

k

.

5

!

(

5

0

)

!

0

!

(

x

)

5

0

(

1

x

)

0

+

5

!

(

5

1

)

!

1

!

(

x

)

5

1

(

1

x

)

+

5

!

(

5

2

)

!

2

!

(

x

)

5

2

(

1

x

)

2

+

5

!

(

5

3

)

!

3

!

(

x

)

5

3

(

1

x

)

3

+

5

!

(

5

4

)

!

4

!

(

x

)

5

4

(

1

x

)

4

+

5

!

(

5

5

)

!

5

!

(

x

)

5

5

(

1

x

)

5

Simplify the exponents for each term of the expansion.

1

(

x

)

5

(

1

x

)

0

+

5

(

x

)

4

(

1

x

)

+

10

(

x

)

3

(

1

x

)

2

+

10

(

x

)

2

(

1

x

)

3

+

5

(

x

)

(

1

x

)

4

+

1

(

x)⋅(1x)5

Similar questions