Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x4−8x2
Evaluate
x4×4−4x2×2
Use the commutative property to reorder the terms
4x4−4x2×2
Solution
4x4−8x2
Show Solution
Factor the expression
4x2(x2−2)
Evaluate
x4×4−4x2×2
Use the commutative property to reorder the terms
4x4−4x2×2
Multiply the terms
4x4−8x2
Rewrite the expression
4x2×x2−4x2×2
Solution
4x2(x2−2)
Show Solution
Find the roots
x1=−2,x2=0,x3=2
Alternative Form
x1≈−1.414214,x2=0,x3≈1.414214
Evaluate
x4×4−4x2×2
To find the roots of the expression,set the expression equal to 0
x4×4−4x2×2=0
Use the commutative property to reorder the terms
4x4−4x2×2=0
Multiply the terms
4x4−8x2=0
Factor the expression
4x2(x2−2)=0
Divide both sides
x2(x2−2)=0
Separate the equation into 2 possible cases
x2=0x2−2=0
The only way a power can be 0 is when the base equals 0
x=0x2−2=0
Solve the equation
More Steps
Evaluate
x2−2=0
Move the constant to the right-hand side and change its sign
x2=0+2
Removing 0 doesn't change the value,so remove it from the expression
x2=2
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±2
Separate the equation into 2 possible cases
x=2x=−2
x=0x=2x=−2
Solution
x1=−2,x2=0,x3=2
Alternative Form
x1≈−1.414214,x2=0,x3≈1.414214
Show Solution