Algebra
Calculus
Trigonometry
Matrix
Question
3z4(z−3)z2
Simplify the expression
3z7−9z6
Evaluate
3z4(z−3)z2
Multiply the terms with the same base by adding their exponents
3z4+2(z−3)
Add the numbers
3z6(z−3)
Apply the distributive property
3z6×z−3z6×3
Multiply the terms
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Evaluate
z6×z
Use the product rule an×am=an+m to simplify the expression
z6+1
Add the numbers
z7
3z7−3z6×3
Solution
3z7−9z6
Show Solution
Find the roots
z1=0,z2=3
Evaluate
3(z4)(z−3)(z2)
To find the roots of the expression,set the expression equal to 0
3(z4)(z−3)(z2)=0
Calculate
3z4(z−3)(z2)=0
Calculate
3z4(z−3)z2=0
Multiply
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Multiply the terms
3z4(z−3)z2
Multiply the terms with the same base by adding their exponents
3z4+2(z−3)
Add the numbers
3z6(z−3)
3z6(z−3)=0
Elimination the left coefficient
z6(z−3)=0
Separate the equation into 2 possible cases
z6=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