Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−5)(x2+5x+25)
Evaluate
x3−125
Rewrite the expression in exponential form
x3−53
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−5)(x2+x×5+52)
Use the commutative property to reorder the terms
(x−5)(x2+5x+52)
Solution
(x−5)(x2+5x+25)
Show Solution
Find the roots
x=5
Evaluate
x3−125
To find the roots of the expression,set the expression equal to 0
x3−125=0
Move the constant to the right-hand side and change its sign
x3=0+125
Removing 0 doesn't change the value,so remove it from the expression
x3=125
Take the 3-th root on both sides of the equation
3x3=3125
Calculate
x=3125
Solution
More Steps
Evaluate
3125
Write the number in exponential form with the base of 5
353
Reduce the index of the radical and exponent with 3
5
x=5
Show Solution