Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3w4−3w3
Evaluate
(w−1)×3w3
Multiply the terms
3w3(w−1)
Apply the distributive property
3w3×w−3w3×1
Multiply the terms
More Steps
Evaluate
w3×w
Use the product rule an×am=an+m to simplify the expression
w3+1
Add the numbers
w4
3w4−3w3×1
Solution
3w4−3w3
Show Solution
Find the roots
w1=0,w2=1
Evaluate
(w−1)(3w3)
To find the roots of the expression,set the expression equal to 0
(w−1)(3w3)=0
Multiply the terms
(w−1)×3w3=0
Multiply the terms
3w3(w−1)=0
Elimination the left coefficient
w3(w−1)=0
Separate the equation into 2 possible cases
w3=0w−1=0
The only way a power can be 0 is when the base equals 0
w=0w−1=0
Solve the equation
More Steps
Evaluate
w−1=0
Move the constant to the right-hand side and change its sign
w=0+1
Removing 0 doesn't change the value,so remove it from the expression
w=1
w=0w=1
Solution
w1=0,w2=1
Show Solution