Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
t3−28t6
Evaluate
t3−t6×28
Solution
t3−28t6
Show Solution
Factor the expression
t3(1−28t3)
Evaluate
t3−t6×28
Use the commutative property to reorder the terms
t3−28t6
Rewrite the expression
t3−t3×28t3
Solution
t3(1−28t3)
Show Solution
Find the roots
t1=0,t2=14398
Alternative Form
t1=0,t2≈0.329317
Evaluate
t3−t6×28
To find the roots of the expression,set the expression equal to 0
t3−t6×28=0
Use the commutative property to reorder the terms
t3−28t6=0
Factor the expression
t3(1−28t3)=0
Separate the equation into 2 possible cases
t3=01−28t3=0
The only way a power can be 0 is when the base equals 0
t=01−28t3=0
Solve the equation
More Steps
Evaluate
1−28t3=0
Move the constant to the right-hand side and change its sign
−28t3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−28t3=−1
Change the signs on both sides of the equation
28t3=1
Divide both sides
2828t3=281
Divide the numbers
t3=281
Take the 3-th root on both sides of the equation
3t3=3281
Calculate
t=3281
Simplify the root
More Steps
Evaluate
3281
To take a root of a fraction,take the root of the numerator and denominator separately
32831
Simplify the radical expression
3281
Multiply by the Conjugate
328×32823282
Simplify
328×32822398
Multiply the numbers
282398
Cancel out the common factor 2
14398
t=14398
t=0t=14398
Solution
t1=0,t2=14398
Alternative Form
t1=0,t2≈0.329317
Show Solution