Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
t4−3t3
Evaluate
(t−3)t3
Multiply the terms
t3(t−3)
Apply the distributive property
t3×t−t3×3
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
t4−t3×3
Solution
t4−3t3
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Find the roots
t1=0,t2=3
Evaluate
(t−3)(t3)
To find the roots of the expression,set the expression equal to 0
(t−3)(t3)=0
Calculate
(t−3)t3=0
Multiply the terms
t3(t−3)=0
Separate the equation into 2 possible cases
t3=0t−3=0
The only way a power can be 0 is when the base equals 0
t=0t−3=0
Solve the equation
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Evaluate
t−3=0
Move the constant to the right-hand side and change its sign
t=0+3
Removing 0 doesn't change the value,so remove it from the expression
t=3
t=0t=3
Solution
t1=0,t2=3
Show Solution