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