# Evaluate (15^2-25÷2)/(35-10)

152-25÷235-10
Multiply the numerator and denominator of the complex fraction by 2.
Multiply 152-25÷235-10 by 22.
22⋅152-25÷235-10
Combine.
2(152-25÷2)2(35-10)
2(152-25÷2)2(35-10)
Apply the distributive property.
2⋅152+2(-25÷2)2⋅35+2⋅-10
Cancel the common factor of 2.
Move the leading negative in -25÷2 into the numerator.
2⋅152+2(-252)2⋅35+2⋅-10
Cancel the common factor.
2⋅152+2(-252)2⋅35+2⋅-10
Rewrite the expression.
2⋅152-252⋅35+2⋅-10
2⋅152-252⋅35+2⋅-10
Simplify the numerator.
Raise 15 to the power of 2.
2⋅225-252⋅35+2⋅-10
Multiply 2 by 225.
450-252⋅35+2⋅-10
Subtract 25 from 450.
4252⋅35+2⋅-10
4252⋅35+2⋅-10
Simplify the denominator.
Multiply 2 by 35.
42570+2⋅-10
Multiply 2 by -10.
42570-20
Subtract 20 from 70.
42550
42550
Cancel the common factor of 425 and 50.
Factor 25 out of 425.
25(17)50
Cancel the common factors.
Factor 25 out of 50.
25⋅1725⋅2
Cancel the common factor.
25⋅1725⋅2
Rewrite the expression.
172
172
172
The result can be shown in multiple forms.
Exact Form:
172
Decimal Form:
8.5
Mixed Number Form:
812
Evaluate (15^2-25÷2)/(35-10)

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