Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
4x2(x−3)2
Evaluate
4x4−24x3+36x2
Rewrite the expression
4x2×x2−4x2×6x+4x2×9
Factor out 4x2 from the expression
4x2(x2−6x+9)
Solution
4x2(x−3)2
Show Solution
Find the roots
x1=0,x2=3
Evaluate
4x4−24x3+36x2
To find the roots of the expression,set the expression equal to 0
4x4−24x3+36x2=0
Factor the expression
4x2(x−3)2=0
Divide both sides
x2(x−3)2=0
Separate the equation into 2 possible cases
x2=0(x−3)2=0
The only way a power can be 0 is when the base equals 0
x=0(x−3)2=0
Solve the equation
More Steps
Evaluate
(x−3)2=0
The only way a power can be 0 is when the base equals 0
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=0x=3
Solution
x1=0,x2=3
Show Solution