Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
t−t4
Evaluate
t−t4×1
Solution
t−t4
Show Solution
Factor the expression
t(1−t)(1+t+t2)
Evaluate
t−t4×1
Any expression multiplied by 1 remains the same
t−t4
Factor out t from the expression
t(1−t3)
Solution
More Steps
Evaluate
1−t3
Rewrite the expression in exponential form
13−t3
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(1−t)(12+1×t+t2)
1 raised to any power equals to 1
(1−t)(1+1×t+t2)
Any expression multiplied by 1 remains the same
(1−t)(1+t+t2)
t(1−t)(1+t+t2)
Show Solution
Find the roots
t1=0,t2=1
Evaluate
t−t4×1
To find the roots of the expression,set the expression equal to 0
t−t4×1=0
Any expression multiplied by 1 remains the same
t−t4=0
Factor the expression
t(1−t3)=0
Separate the equation into 2 possible cases
t=01−t3=0
Solve the equation
More Steps
Evaluate
1−t3=0
Move the constant to the right-hand side and change its sign
−t3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−t3=−1
Change the signs on both sides of the equation
t3=1
Take the 3-th root on both sides of the equation
3t3=31
Calculate
t=31
Simplify the root
t=1
t=0t=1
Solution
t1=0,t2=1
Show Solution