Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x4−4
Evaluate
x3×x−4
Solution
More Steps
Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
x4−4
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Factor the expression
(x2−2)(x2+2)
Evaluate
x3×x−4
Evaluate
More Steps
Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
x4−4
Rewrite the expression in exponential form
(x2)2−22
Solution
(x2−2)(x2+2)
Show Solution
Find the roots
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Evaluate
x3×x−4
To find the roots of the expression,set the expression equal to 0
x3×x−4=0
Multiply the terms
More Steps
Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
x4−4=0
Move the constant to the right-hand side and change its sign
x4=0+4
Removing 0 doesn't change the value,so remove it from the expression
x4=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±44
Simplify the expression
More Steps
Evaluate
44
Write the number in exponential form with the base of 2
422
Reduce the index of the radical and exponent with 2
2
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Solution
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Show Solution