Evaluate (2(17/8))/(1-(17/8)^2)

Math
2(178)1-(178)2
Combine 2 and 178.
2⋅1781-(178)2
Simplify the denominator.
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Apply the product rule to 178.
2⋅1781-17282
Raise 17 to the power of 2.
2⋅1781-28982
Raise 8 to the power of 2.
2⋅1781-28964
Write 1 as a fraction with a common denominator.
2⋅1786464-28964
Combine the numerators over the common denominator.
2⋅17864-28964
Subtract 289 from 64.
2⋅178-22564
Move the negative in front of the fraction.
2⋅178-22564
2⋅178-22564
Reduce the expression by cancelling the common factors.
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Multiply 2 by 17.
348-22564
Cancel the common factor of 34 and 8.
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Factor 2 out of 34.
2(17)8-22564
Cancel the common factors.
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Factor 2 out of 8.
2⋅172⋅4-22564
Cancel the common factor.
2⋅172⋅4-22564
Rewrite the expression.
174-22564
174-22564
174-22564
174-22564
Multiply the numerator by the reciprocal of the denominator.
174(-64225)
Cancel the common factor of 4.
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Move the leading negative in -64225 into the numerator.
174⋅-64225
Factor 4 out of -64.
174⋅4(-16)225
Cancel the common factor.
174⋅4⋅-16225
Rewrite the expression.
17(-16225)
17(-16225)
Combine 17 and -16225.
17⋅-16225
Simplify the expression.
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Multiply 17 by -16.
-272225
Move the negative in front of the fraction.
-272225
-272225
The result can be shown in multiple forms.
Exact Form:
-272225
Decimal Form:
-1.208‾
Mixed Number Form:
-147225
Evaluate (2(17/8))/(1-(17/8)^2)

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