Question
Simplify the expression
3x2−6x+3
Evaluate
(x−1)(3x−3)
Apply the distributive property
x×3x−x×3−3x−(−3)
Multiply the terms
More Steps

Evaluate
x×3x
Use the commutative property to reorder the terms
3x×x
Multiply the terms
3x2
3x2−x×3−3x−(−3)
Use the commutative property to reorder the terms
3x2−3x−3x−(−3)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3x2−3x−3x+3
Solution
More Steps

Evaluate
−3x−3x
Collect like terms by calculating the sum or difference of their coefficients
(−3−3)x
Subtract the numbers
−6x
3x2−6x+3
Show Solution

Factor the expression
3(x−1)2
Evaluate
(x−1)(3x−3)
Evaluate
3x2−6x+3
Solution
3(x−1)2
Show Solution

Find the roots
x=1
Evaluate
(x−1)(3x−3)
To find the roots of the expression,set the expression equal to 0
(x−1)(3x−3)=0
Separate the equation into 2 possible cases
x−1=03x−3=0
Solve the equation
More Steps

Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=13x−3=0
Solve the equation
More Steps

Evaluate
3x−3=0
Move the constant to the right-hand side and change its sign
3x=0+3
Removing 0 doesn't change the value,so remove it from the expression
3x=3
Divide both sides
33x=33
Divide the numbers
x=33
Divide the numbers
More Steps

Evaluate
33
Reduce the numbers
11
Calculate
1
x=1
x=1x=1
Solution
x=1
Show Solution
