Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
27x3−9x2+27x−27
Evaluate
(3x−1)3
Subtract the terms
More Steps
Simplify
3x−1
Reduce fractions to a common denominator
3x−33
Write all numerators above the common denominator
3x−3
(3x−3)3
Rewrite the expression
33(x−3)3
Simplify
27(x−3)3
Solution
More Steps
Evaluate
(x−3)3
Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression
x3−3x2×3+3x×32−33
Calculate
x3−9x2+27x−27
27x3−9x2+27x−27
Show Solution
Find the roots
x=3
Evaluate
(3x−1)3
To find the roots of the expression,set the expression equal to 0
(3x−1)3=0
Subtract the terms
More Steps
Simplify
3x−1
Reduce fractions to a common denominator
3x−33
Write all numerators above the common denominator
3x−3
(3x−3)3=0
The only way a power can be 0 is when the base equals 0
3x−3=0
Simplify
x−3=0
Move the constant to the right side
x=0+3
Solution
x=3
Show Solution