Evaluate ((3-5)^2-(7-13))/((12-9)^2+(11-14)^2)

Math
(3-5)2-(7-13)(12-9)2+(11-14)2
Simplify the numerator.
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Subtract 5 from 3.
(-2)2-(7-13)(12-9)2+(11-14)2
Raise -2 to the power of 2.
4-(7-13)(12-9)2+(11-14)2
Subtract 13 from 7.
4–6(12-9)2+(11-14)2
Multiply -1 by -6.
4+6(12-9)2+(11-14)2
Add 4 and 6.
10(12-9)2+(11-14)2
10(12-9)2+(11-14)2
Simplify the denominator.
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Subtract 9 from 12.
1032+(11-14)2
Raise 3 to the power of 2.
109+(11-14)2
Subtract 14 from 11.
109+(-3)2
Raise -3 to the power of 2.
109+9
Add 9 and 9.
1018
1018
Cancel the common factor of 10 and 18.
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Factor 2 out of 10.
2(5)18
Cancel the common factors.
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Factor 2 out of 18.
2⋅52⋅9
Cancel the common factor.
2⋅52⋅9
Rewrite the expression.
59
59
59
The result can be shown in multiple forms.
Exact Form:
59
Decimal Form:
0.5‾
Evaluate ((3-5)^2-(7-13))/((12-9)^2+(11-14)^2)

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