Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4t4−20t3
Evaluate
4t3(t−5)
Apply the distributive property
4t3×t−4t3×5
Multiply the terms
More Steps
Evaluate
t3×t
Use the product rule an×am=an+m to simplify the expression
t3+1
Add the numbers
t4
4t4−4t3×5
Solution
4t4−20t3
Show Solution
Find the roots
t1=0,t2=5
Evaluate
(4t3)(t−5)
To find the roots of the expression,set the expression equal to 0
(4t3)(t−5)=0
Multiply the terms
4t3(t−5)=0
Elimination the left coefficient
t3(t−5)=0
Separate the equation into 2 possible cases
t3=0t−5=0
The only way a power can be 0 is when the base equals 0
t=0t−5=0
Solve the equation
More Steps
Evaluate
t−5=0
Move the constant to the right-hand side and change its sign
t=0+5
Removing 0 doesn't change the value,so remove it from the expression
t=5
t=0t=5
Solution
t1=0,t2=5
Show Solution