Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
16z4−12z3
Evaluate
4z3(4z−3)
Apply the distributive property
4z3×4z−4z3×3
Multiply the terms
More Steps
Evaluate
4z3×4z
Multiply the numbers
16z3×z
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
16z4
16z4−4z3×3
Solution
16z4−12z3
Show Solution
Find the roots
z1=0,z2=43
Alternative Form
z1=0,z2=0.75
Evaluate
(4z3)(4z−3)
To find the roots of the expression,set the expression equal to 0
(4z3)(4z−3)=0
Multiply the terms
4z3(4z−3)=0
Elimination the left coefficient
z3(4z−3)=0
Separate the equation into 2 possible cases
z3=04z−3=0
The only way a power can be 0 is when the base equals 0
z=04z−3=0
Solve the equation
More Steps
Evaluate
4z−3=0
Move the constant to the right-hand side and change its sign
4z=0+3
Removing 0 doesn't change the value,so remove it from the expression
4z=3
Divide both sides
44z=43
Divide the numbers
z=43
z=0z=43
Solution
z1=0,z2=43
Alternative Form
z1=0,z2=0.75
Show Solution