# Evaluate (10(5-1))/(2(5)+10)

10(5-1)2(5)+10
Reduce the expression by cancelling the common factors.
Cancel the common factor of 10 and 2(5)+10.
Factor -1 out of 2(5).
10(5-1)-(-2⋅5)+10
Rewrite 10 as -1(-10).
10(5-1)-(-2⋅5)-1(-10)
Factor -1 out of -(-2⋅5)-1(-10).
10(5-1)-(-2⋅5-10)
Rewrite -(-2⋅5-10) as -1(-2⋅5-10).
10(5-1)-1(-2⋅5-10)
Reorder terms.
10(5-1)-1(-10-2⋅5)
Factor 2 out of 10(5-1).
2(5(5-1))-1(-10-2⋅5)
Cancel the common factors.
Factor 2 out of -1(-10-2⋅5).
2(5(5-1))2(-1(-5-1⋅5))
Cancel the common factor.
2(5(5-1))2(-1(-5-1⋅5))
Rewrite the expression.
5(5-1)-1(-5-1⋅5)
5(5-1)-1(-5-1⋅5)
5(5-1)-1(-5-1⋅5)
Cancel the common factor of 5 and -5-1⋅5.
Rewrite -5 as -1(5).
5(5-1)-1(-1(5)-1⋅5)
Factor -1 out of -1⋅5.
5(5-1)-1(-1(5)-1(5))
Factor -1 out of -1(5)-1(5).
5(5-1)-1(-1(5+5))
Cancel the common factors.
Factor 5 out of -1⋅-1(5+5).
5(5-1)5(-1⋅-1(1+1))
Cancel the common factor.
5(5-1)5(-1⋅-1(1+1))
Rewrite the expression.
5-1-1⋅-1(1+1)
5-1-1⋅-1(1+1)
5-1-1⋅-1(1+1)
Subtract 1 from 5.
4-1⋅-1(1+1)
4-1⋅-1(1+1)
Simplify the denominator.
Multiply -1 by -1.
41(1+1)
Multiply 1+1 by 1.
41+1
41+1
Simplify the expression.
42
Divide 4 by 2.
2
2
Evaluate (10(5-1))/(2(5)+10)

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