Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
6y4−2y
Evaluate
3×2y4−2y
Solution
6y4−2y
Show Solution
Factor the expression
2y(3y3−1)
Evaluate
3×2y4−2y
Multiply the numbers
More Steps
Evaluate
3×2
Multiply the numbers
6
Evaluate
6y4
6y4−2y
Rewrite the expression
2y×3y3−2y
Solution
2y(3y3−1)
Show Solution
Find the roots
y1=0,y2=339
Alternative Form
y1=0,y2≈0.693361
Evaluate
3(2y4)−2y
To find the roots of the expression,set the expression equal to 0
3(2y4)−2y=0
Multiply the terms
3×2y4−2y=0
Multiply the numbers
6y4−2y=0
Factor the expression
2y(3y3−1)=0
Divide both sides
y(3y3−1)=0
Separate the equation into 2 possible cases
y=03y3−1=0
Solve the equation
More Steps
Evaluate
3y3−1=0
Move the constant to the right-hand side and change its sign
3y3=0+1
Removing 0 doesn't change the value,so remove it from the expression
3y3=1
Divide both sides
33y3=31
Divide the numbers
y3=31
Take the 3-th root on both sides of the equation
3y3=331
Calculate
y=331
Simplify the root
More Steps
Evaluate
331
To take a root of a fraction,take the root of the numerator and denominator separately
3331
Simplify the radical expression
331
Multiply by the Conjugate
33×332332
Simplify
33×33239
Multiply the numbers
339
y=339
y=0y=339
Solution
y1=0,y2=339
Alternative Form
y1=0,y2≈0.693361
Show Solution