Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
r4−3r3
Evaluate
(r−3)r3
Multiply the terms
r3(r−3)
Apply the distributive property
r3×r−r3×3
Multiply the terms
More Steps
Evaluate
r3×r
Use the product rule an×am=an+m to simplify the expression
r3+1
Add the numbers
r4
r4−r3×3
Solution
r4−3r3
Show Solution
Find the roots
r1=0,r2=3
Evaluate
(r−3)(r3)
To find the roots of the expression,set the expression equal to 0
(r−3)(r3)=0
Calculate
(r−3)r3=0
Multiply the terms
r3(r−3)=0
Separate the equation into 2 possible cases
r3=0r−3=0
The only way a power can be 0 is when the base equals 0
r=0r−3=0
Solve the equation
More Steps
Evaluate
r−3=0
Move the constant to the right-hand side and change its sign
r=0+3
Removing 0 doesn't change the value,so remove it from the expression
r=3
r=0r=3
Solution
r1=0,r2=3
Show Solution