Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
16y4(2−y)(2+y)
Evaluate
64y4−16y6
Factor out 16y4 from the expression
16y4(4−y2)
Solution
More Steps
Evaluate
4−y2
Rewrite the expression in exponential form
22−y2
Use a2−b2=(a−b)(a+b) to factor the expression
(2−y)(2+y)
16y4(2−y)(2+y)
Show Solution
Find the roots
y1=−2,y2=0,y3=2
Evaluate
64y4−16y6
To find the roots of the expression,set the expression equal to 0
64y4−16y6=0
Factor the expression
16y4(4−y2)=0
Divide both sides
y4(4−y2)=0
Separate the equation into 2 possible cases
y4=04−y2=0
The only way a power can be 0 is when the base equals 0
y=04−y2=0
Solve the equation
More Steps
Evaluate
4−y2=0
Move the constant to the right-hand side and change its sign
−y2=0−4
Removing 0 doesn't change the value,so remove it from the expression
−y2=−4
Change the signs on both sides of the equation
y2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±4
Simplify the expression
More Steps
Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
y=±2
Separate the equation into 2 possible cases
y=2y=−2
y=0y=2y=−2
Solution
y1=−2,y2=0,y3=2
Show Solution