Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3u(u4−2)
Evaluate
3u5−6u
Rewrite the expression
3u×u4−3u×2
Solution
3u(u4−2)
Show Solution
Find the roots
u1=−42,u2=0,u3=42
Alternative Form
u1≈−1.189207,u2=0,u3≈1.189207
Evaluate
3(u5)−6u
To find the roots of the expression,set the expression equal to 0
3(u5)−6u=0
Calculate
3u5−6u=0
Factor the expression
3u(u4−2)=0
Divide both sides
u(u4−2)=0
Separate the equation into 2 possible cases
u=0u4−2=0
Solve the equation
More Steps
Evaluate
u4−2=0
Move the constant to the right-hand side and change its sign
u4=0+2
Removing 0 doesn't change the value,so remove it from the expression
u4=2
Take the root of both sides of the equation and remember to use both positive and negative roots
u=±42
Separate the equation into 2 possible cases
u=42u=−42
u=0u=42u=−42
Solution
u1=−42,u2=0,u3=42
Alternative Form
u1≈−1.189207,u2=0,u3≈1.189207
Show Solution