Evaluate (2*(-21/20))/(1-(21/20)^2)

Math
2⋅(-2120)1-(2120)2
Simplify the numerator.
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Multiply 2 by -1.
-2(2120)1-(2120)2
Combine -2 and 2120.
-2⋅21201-(2120)2
-2⋅21201-(2120)2
Simplify the denominator.
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Apply the product rule to 2120.
-2⋅21201-212202
Raise 21 to the power of 2.
-2⋅21201-441202
Raise 20 to the power of 2.
-2⋅21201-441400
Write 1 as a fraction with a common denominator.
-2⋅2120400400-441400
Combine the numerators over the common denominator.
-2⋅2120400-441400
Subtract 441 from 400.
-2⋅2120-41400
Move the negative in front of the fraction.
-2⋅2120-41400
-2⋅2120-41400
Multiply -2 by 21.
-4220-41400
Reduce the expression by cancelling the common factors.
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Cancel the common factor of -42 and 20.
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Factor 2 out of -42.
2(-21)20-41400
Cancel the common factors.
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Factor 2 out of 20.
2⋅-212⋅10-41400
Cancel the common factor.
2⋅-212⋅10-41400
Rewrite the expression.
-2110-41400
-2110-41400
-2110-41400
Move the negative in front of the fraction.
-2110-41400
-2110-41400
Dividing two negative values results in a positive value.
211041400
Multiply the numerator by the reciprocal of the denominator.
2110⋅40041
Cancel the common factor of 10.
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Factor 10 out of 400.
2110⋅10(40)41
Cancel the common factor.
2110⋅10⋅4041
Rewrite the expression.
21(4041)
21(4041)
Combine 21 and 4041.
21⋅4041
Multiply 21 by 40.
84041
The result can be shown in multiple forms.
Exact Form:
84041
Decimal Form:
20.48780‾
Mixed Number Form:
202041
Evaluate (2*(-21/20))/(1-(21/20)^2)

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