Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
221290r
Evaluate
45225r2×165225÷(r×17)
Dividing by an is the same as multiplying by a−n
1745225r2×165225×r−1
Divide the terms
More Steps
Evaluate
45225
Reduce the numbers
15
Calculate
5
175r2×165225×r−1
Covert the mixed number to an improper fraction
More Steps
Convert the expressions
165225
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
6565+225
Add the terms
65290
175r2×65290r−1
Multiply
More Steps
Multiply the terms
5r2×65290r−1
Multiply the terms
More Steps
Evaluate
5×65290
Reduce the numbers
1×13290
Multiply the numbers
13290
13290r2×r−1
Multiply the terms with the same base by adding their exponents
13290r2−1
Subtract the numbers
13290r
1713290r
Rewrite the expression
1713290r
Multiply by the reciprocal
13290r×171
Multiply the terms
13×17290r
Solution
221290r
Show Solution
Find the excluded values
r=0
Evaluate
45225r2×165225÷(r×17)
To find the excluded values,set the denominators equal to 0
r×17=0
Use the commutative property to reorder the terms
17r=0
Solution
r=0
Show Solution
Find the roots
r∈∅
Evaluate
45225r2×165225÷(r×17)
To find the roots of the expression,set the expression equal to 0
45225r2×165225÷(r×17)=0
Find the domain
More Steps
Evaluate
r×17=0
Use the commutative property to reorder the terms
17r=0
Rewrite the expression
r=0
45225r2×165225÷(r×17)=0,r=0
Calculate
45225r2×165225÷(r×17)=0
Divide the terms
More Steps
Evaluate
45225
Reduce the numbers
15
Calculate
5
5r2×165225÷(r×17)=0
Covert the mixed number to an improper fraction
More Steps
Convert the expressions
165225
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
6565+225
Add the terms
65290
5r2×65290÷(r×17)=0
Multiply the terms
More Steps
Multiply the terms
5r2×65290
Multiply the terms
More Steps
Evaluate
5×65290
Reduce the numbers
1×13290
Multiply the numbers
13290
13290r2
13290r2÷(r×17)=0
Use the commutative property to reorder the terms
13290r2÷17r=0
Divide the terms
More Steps
Evaluate
13290r2÷17r
Rewrite the expression
13290r2÷17r
Multiply by the reciprocal
13290r2×17r1
Cancel out the common factor r
13290r×171
Multiply the terms
13×17290r
Multiply the terms
221290r
221290r=0
Simplify
290r=0
Rewrite the expression
r=0
Check if the solution is in the defined range
r=0,r=0
Solution
r∈∅
Show Solution