Question
Simplify the expression
y2−8y6
Evaluate
y2−2y6×4
Solution
y2−8y6
Show Solution

Factor the expression
y2(1−8y4)
Evaluate
y2−2y6×4
Multiply the terms
y2−8y6
Rewrite the expression
y2−y2×8y4
Solution
y2(1−8y4)
Show Solution

Find the roots
y1=−242,y2=0,y3=242
Alternative Form
y1≈−0.594604,y2=0,y3≈0.594604
Evaluate
y2−2y6×4
To find the roots of the expression,set the expression equal to 0
y2−2y6×4=0
Multiply the terms
y2−8y6=0
Factor the expression
y2(1−8y4)=0
Separate the equation into 2 possible cases
y2=01−8y4=0
The only way a power can be 0 is when the base equals 0
y=01−8y4=0
Solve the equation
More Steps

Evaluate
1−8y4=0
Move the constant to the right-hand side and change its sign
−8y4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−8y4=−1
Change the signs on both sides of the equation
8y4=1
Divide both sides
88y4=81
Divide the numbers
y4=81
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±481
Simplify the expression
More Steps

Evaluate
481
To take a root of a fraction,take the root of the numerator and denominator separately
4841
Simplify the radical expression
481
Multiply by the Conjugate
48×483483
Simplify
48×4832242
Multiply the numbers
232242
Reduce the fraction
242
y=±242
Separate the equation into 2 possible cases
y=242y=−242
y=0y=242y=−242
Solution
y1=−242,y2=0,y3=242
Alternative Form
y1≈−0.594604,y2=0,y3≈0.594604
Show Solution
