How do you expand (x+2) ^5

Question

Mathematics

Harper

5 September, 03:09

How do you expand (x+2) ^5

+3

Answers (1)

Know the Answer?

Donovan Schwartz · Answer 1

Multiply

2

2

by

5

5

.

x

5

+

10

x

4

+

10

x

3

⋅

2

2

+

10

x

2

⋅

2

3

+

5

x

⋅

2

4

+

2

5

x

5

+

10

x

4

+

10

x

3

⋅

2

2

+

10

x

2

⋅

2

3

+

5

x

⋅

2

4

+

2

5

Raise

2

2

to the power of

2

2

.

x

5

+

10

x

4

+

10

x

3

⋅

4

+

10

x

2

⋅

2

3

+

5

x

⋅

2

4

+

2

5

x

5

+

10

x

4

+

10

x

3

⋅

4

+

10

x

2

⋅

2

3

+

5

x

⋅

2

4

+

2

5

Multiply

4

4

by

10

10

.

x

5

+

10

x

4

+

40

x

3

+

10

x

2

⋅

2

3

+

5

x

⋅

2

4

+

2

5

x

5

+

10

x

4

+

40

x

3

+

10

x

2

⋅

2

3

+

5

x

⋅

2

4

+

2

5

Raise

2

2

to the power of

3

3

.

x

5

+

10

x

4

+

40

x

3

+

10

x

2

⋅

8

+

5

x

⋅

2

4

+

2

5

x

5

+

10

x

4

+

40

x

3

+

10

x

2

⋅

8

+

5

x

⋅

2

4

+

2

5

Multiply

8

8

by

10

10

.

x

5

+

10

x

4

+

40

x

3

+

80

x

2

+

5

x

⋅

2

4

+

2

5

x

5

+

10

x

4

+

40

x

3

+

80

x

2

+

5

x

⋅

2

4

+

2

5

Raise

2

2

to the power of

4

4

.

x

5

+

10

x

4

+

40

x

3

+

80

x

2

+

5

x

⋅

16

+

2

5

x

5

+

10

x

4

+

40

x

3

+

80

x

2

+

5

x

⋅

16

+

2

5

Multiply

16

16

by

5

5

.

x

5

+

10

x

4

+

40

x

3

+

80

x

2

+

80

x

+

2

5

x

5

+

10

x

4

+

40

x

3

+

80

x

2

+

80

x

+

2

5

Raise

2

2

to the power of

5

5

.

x

5

+

10

x

4

+

40

x

3

+

80

x

2

+

80

x

+

32