Simplify (pi/(pi^2)+2/(2-pi)+1/(pi+2))÷(pi-2+(10-pi^2)/(pi+2))

Math
Rewrite the division as a fraction.
Cancel the common factor of and .
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Multiply by .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply the numerator and denominator of the complex fraction by .
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Multiply by .
Combine.
Apply the distributive property.
Simplify by cancelling.
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Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Subtract from .
Add and .
Apply the distributive property.
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Move to the left of .
Apply the distributive property.
Move to the left of .
Multiply by .
Apply the distributive property.
Move to the left of .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Add and .
Subtract from .
Add and .
Add and .
Simplify the denominator.
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Apply the distributive property.
Move to the left of .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Subtract from .
Add and .
Apply the distributive property.
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Apply the distributive property.
Move to the left of .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Subtract from .
Add and .
Apply the distributive property.
Multiply by .
Multiply by .
Apply the distributive property.
Move to the left of .
Multiply .
Tap for more steps…
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
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Multiply by .
Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
Tap for more steps…
Move .
Use the power rule to combine exponents.
Add and .
Multiply .
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Multiply by .
Multiply by .
Add and .
Add and .
Subtract from .
Subtract from .
Add and .
Add and .
Simplify with factoring out.
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Factor out of .
Factor out of .
Factor out of .
Rewrite negatives.
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Rewrite as .
Move the negative in front of the fraction.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Simplify (pi/(pi^2)+2/(2-pi)+1/(pi+2))÷(pi-2+(10-pi^2)/(pi+2))

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