Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
5(x−3)(x2+3x+9)
Evaluate
5x3−135
Factor out 5 from the expression
5(x3−27)
Solution
More Steps
Evaluate
x3−27
Rewrite the expression in exponential form
x3−33
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−3)(x2+x×3+32)
Use the commutative property to reorder the terms
(x−3)(x2+3x+32)
Evaluate
(x−3)(x2+3x+9)
5(x−3)(x2+3x+9)
Show Solution
Find the roots
x=3
Evaluate
5x3−135
To find the roots of the expression,set the expression equal to 0
5x3−135=0
Move the constant to the right-hand side and change its sign
5x3=0+135
Removing 0 doesn't change the value,so remove it from the expression
5x3=135
Divide both sides
55x3=5135
Divide the numbers
x3=5135
Divide the numbers
More Steps
Evaluate
5135
Reduce the numbers
127
Calculate
27
x3=27
Take the 3-th root on both sides of the equation
3x3=327
Calculate
x=327
Solution
More Steps
Evaluate
327
Write the number in exponential form with the base of 3
333
Reduce the index of the radical and exponent with 3
3
x=3
Show Solution