Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−5)(x+5)
Evaluate
x3−25x
Factor out x from the expression
x(x2−25)
Solution
More Steps
Evaluate
x2−25
Rewrite the expression in exponential form
x2−52
Use a2−b2=(a−b)(a+b) to factor the expression
(x−5)(x+5)
x(x−5)(x+5)
Show Solution
Find the roots
x1=−5,x2=0,x3=5
Evaluate
x3−25x
To find the roots of the expression,set the expression equal to 0
x3−25x=0
Factor the expression
x(x2−25)=0
Separate the equation into 2 possible cases
x=0x2−25=0
Solve the equation
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Evaluate
x2−25=0
Move the constant to the right-hand side and change its sign
x2=0+25
Removing 0 doesn't change the value,so remove it from the expression
x2=25
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±25
Simplify the expression
More Steps
Evaluate
25
Write the number in exponential form with the base of 5
52
Reduce the index of the radical and exponent with 2
5
x=±5
Separate the equation into 2 possible cases
x=5x=−5
x=0x=5x=−5
Solution
x1=−5,x2=0,x3=5
Show Solution