Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−4x4
Evaluate
x2−2x4×2
Solution
x2−4x4
Show Solution
Factor the expression
x2(1−2x)(1+2x)
Evaluate
x2−2x4×2
Evaluate
x2−4x4
Factor out x2 from the expression
x2(1−4x2)
Solution
More Steps
Evaluate
1−4x2
Rewrite the expression in exponential form
12−(2x)2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−2x)(1+2x)
x2(1−2x)(1+2x)
Show Solution
Find the roots
x1=−21,x2=0,x3=21
Alternative Form
x1=−0.5,x2=0,x3=0.5
Evaluate
x2−2x4×2
To find the roots of the expression,set the expression equal to 0
x2−2x4×2=0
Multiply the terms
x2−4x4=0
Factor the expression
x2(1−4x2)=0
Separate the equation into 2 possible cases
x2=01−4x2=0
The only way a power can be 0 is when the base equals 0
x=01−4x2=0
Solve the equation
More Steps
Evaluate
1−4x2=0
Move the constant to the right-hand side and change its sign
−4x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−4x2=−1
Change the signs on both sides of the equation
4x2=1
Divide both sides
44x2=41
Divide the numbers
x2=41
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±41
Simplify the expression
More Steps
Evaluate
41
To take a root of a fraction,take the root of the numerator and denominator separately
41
Simplify the radical expression
41
Simplify the radical expression
21
x=±21
Separate the equation into 2 possible cases
x=21x=−21
x=0x=21x=−21
Solution
x1=−21,x2=0,x3=21
Alternative Form
x1=−0.5,x2=0,x3=0.5
Show Solution