Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2y(1−y)(1+y)(1+y2)
Evaluate
2y−2y5
Factor out 2y from the expression
2y(1−y4)
Factor the expression
More Steps
Evaluate
1−y4
Rewrite the expression in exponential form
12−(y2)2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−y2)(1+y2)
2y(1−y2)(1+y2)
Solution
More Steps
Evaluate
1−y2
Rewrite the expression in exponential form
12−y2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−y)(1+y)
2y(1−y)(1+y)(1+y2)
Show Solution
Find the roots
y1=−1,y2=0,y3=1
Evaluate
2y−2y5
To find the roots of the expression,set the expression equal to 0
2y−2y5=0
Factor the expression
2y(1−y4)=0
Divide both sides
y(1−y4)=0
Separate the equation into 2 possible cases
y=01−y4=0
Solve the equation
More Steps
Evaluate
1−y4=0
Move the constant to the right-hand side and change its sign
−y4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−y4=−1
Change the signs on both sides of the equation
y4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±41
Simplify the expression
y=±1
Separate the equation into 2 possible cases
y=1y=−1
y=0y=1y=−1
Solution
y1=−1,y2=0,y3=1
Show Solution