Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(r−5)(r2+5r+25)
Evaluate
r3−125
Rewrite the expression in exponential form
r3−53
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(r−5)(r2+r×5+52)
Use the commutative property to reorder the terms
(r−5)(r2+5r+52)
Solution
(r−5)(r2+5r+25)
Show Solution
Find the roots
r=5
Evaluate
r3−125
To find the roots of the expression,set the expression equal to 0
r3−125=0
Move the constant to the right-hand side and change its sign
r3=0+125
Removing 0 doesn't change the value,so remove it from the expression
r3=125
Take the 3-th root on both sides of the equation
3r3=3125
Calculate
r=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
r=5
Show Solution