Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3r3
Evaluate
−r−3r2×r2
Multiply
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Evaluate
−3r2×r2
Multiply the terms with the same base by adding their exponents
−3r2+2
Add the numbers
−3r4
−r−3r4
Use b−a=−ba=−ba to rewrite the fraction
r3r4
Solution
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Calculate
rr4
Use the product rule aman=an−m to simplify the expression
r4−1
Subtract the terms
r3
3r3
Show Solution
Find the excluded values
r=0
Evaluate
−r−3r2×r2
To find the excluded values,set the denominators equal to 0
−r=0
Solution
r=0
Show Solution
Find the roots
r∈∅
Evaluate
−r−3r2×r2
To find the roots of the expression,set the expression equal to 0
−r−3r2×r2=0
Change the signs on both sides of the equation
−r−3r2×r2=0,r=0
Calculate
−r−3r2×r2=0
Multiply
More Steps
Multiply the terms
−3r2×r2
Multiply the terms with the same base by adding their exponents
−3r2+2
Add the numbers
−3r4
−r−3r4=0
Divide the terms
More Steps
Evaluate
−r−3r4
Use the product rule aman=an−m to simplify the expression
−1−3r4−1
Reduce the fraction
−1−3r3
Divide the terms
3r3
3r3=0
Rewrite the expression
r3=0
The only way a power can be 0 is when the base equals 0
r=0
Check if the solution is in the defined range
r=0,r=0
Solution
r∈∅
Show Solution