Question

Simplify: ( a+ 1/a) 2 + ( a- 1/a) 2

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Answer 1

STEP

1

:

1

Simplify ——

a2

Equation at the end of step

1

:

(a-1) (2•(a2)) (a+1) 1

((—————-————————)-(—————•1))-—— ÷ (a+1) ÷ (2-a)

(a+1) ((a2)-1) (1-a) a2

STEP

2

:

1

Divide —— by a+1

a2

Equation at the end of step

2

:

(a-1) (2•(a2)) (a+1) 1

((—————-————————)-(—————•1))-———————— ÷ (2-a)

(a+1) ((a2)-1) (1-a) a2•(a+1)

STEP

3

:

1

Divide ———————— by 2-a

a2•(a+1)

:

1

Simplify ——

a2

Equation at the end of step

1

:

(a-1) (2•(a2)) (a+1) 1

((—————-————————)-(—————•1))-—— ÷ (a+1) ÷ (2-a)

(a+1) ((a2)-1) (1-a) a2

STEP

2

:

1

Divide —— by a+1

a2

Equation at the end of step

2

:

(a-1) (2•(a2)) (a+1) 1

((—————-————————)-(—————•1))-———————— ÷ (2-a)

(a+1) ((a2)-1) (1-a) a2•(a+1)

STEP

3

:

1

Divide ———————— by 2-a

a2•(a+1)