Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
16x4−256x2
Evaluate
(x2×16)(x2−16)
Remove the parentheses
x2×16(x2−16)
Use the commutative property to reorder the terms
16x2(x2−16)
Apply the distributive property
16x2×x2−16x2×16
Multiply the terms
More Steps
Evaluate
x2×x2
Use the product rule an×am=an+m to simplify the expression
x2+2
Add the numbers
x4
16x4−16x2×16
Solution
16x4−256x2
Show Solution
Factor the expression
16x2(x−4)(x+4)
Evaluate
(x2×16)(x2−16)
Remove the parentheses
x2×16(x2−16)
Use the commutative property to reorder the terms
16x2(x2−16)
Solution
16x2(x−4)(x+4)
Show Solution
Find the roots
x1=−4,x2=0,x3=4
Evaluate
(x2×16)(x2−16)
To find the roots of the expression,set the expression equal to 0
(x2×16)(x2−16)=0
Use the commutative property to reorder the terms
16x2(x2−16)=0
Elimination the left coefficient
x2(x2−16)=0
Separate the equation into 2 possible cases
x2=0x2−16=0
The only way a power can be 0 is when the base equals 0
x=0x2−16=0
Solve the equation
More Steps
Evaluate
x2−16=0
Move the constant to the right-hand side and change its sign
x2=0+16
Removing 0 doesn't change the value,so remove it from the expression
x2=16
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±16
Simplify the expression
More Steps
Evaluate
16
Write the number in exponential form with the base of 4
42
Reduce the index of the radical and exponent with 2
4
x=±4
Separate the equation into 2 possible cases
x=4x=−4
x=0x=4x=−4
Solution
x1=−4,x2=0,x3=4
Show Solution