Question
Simplify the expression
a4−211
Evaluate
a3×a−211
Solution
More Steps

Evaluate
a3×a
Use the product rule an×am=an+m to simplify the expression
a3+1
Add the numbers
a4
a4−211
Show Solution

Find the roots
a1=−4211,a2=4211
Alternative Form
a1≈−3.811278,a2≈3.811278
Evaluate
a3×a−211
To find the roots of the expression,set the expression equal to 0
a3×a−211=0
Multiply the terms
More Steps

Evaluate
a3×a
Use the product rule an×am=an+m to simplify the expression
a3+1
Add the numbers
a4
a4−211=0
Move the constant to the right-hand side and change its sign
a4=0+211
Removing 0 doesn't change the value,so remove it from the expression
a4=211
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±4211
Separate the equation into 2 possible cases
a=4211a=−4211
Solution
a1=−4211,a2=4211
Alternative Form
a1≈−3.811278,a2≈3.811278
Show Solution
