Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
z4−3z3
Evaluate
(z−3)z3
Multiply the terms
z3(z−3)
Apply the distributive property
z3×z−z3×3
Multiply the terms
More Steps
Evaluate
z3×z
Use the product rule an×am=an+m to simplify the expression
z3+1
Add the numbers
z4
z4−z3×3
Solution
z4−3z3
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Find the roots
z1=0,z2=3
Evaluate
(z−3)(z3)
To find the roots of the expression,set the expression equal to 0
(z−3)(z3)=0
Calculate
(z−3)z3=0
Multiply the terms
z3(z−3)=0
Separate the equation into 2 possible cases
z3=0z−3=0
The only way a power can be 0 is when the base equals 0
z=0z−3=0
Solve the equation
More Steps
Evaluate
z−3=0
Move the constant to the right-hand side and change its sign
z=0+3
Removing 0 doesn't change the value,so remove it from the expression
z=3
z=0z=3
Solution
z1=0,z2=3
Show Solution