Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−4x
Evaluate
(x−2)2−4
Expand the expression
x2−4x+4−4
Solution
x2−4x
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Factor the expression
(x−4)x
Evaluate
(x−2)2−4
Rewrite the expression in exponential form
(x−2)2−22
Use a2−b2=(a−b)(a+b) to factor the expression
(x−2−2)(x−2+2)
Evaluate
(x−4)(x−2+2)
Solution
(x−4)x
Show Solution
Find the roots
x1=0,x2=4
Evaluate
(x−2)2−4
To find the roots of the expression,set the expression equal to 0
(x−2)2−4=0
Move the constant to the right-hand side and change its sign
(x−2)2=0+4
Removing 0 doesn't change the value,so remove it from the expression
(x−2)2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x−2=±4
Simplify the expression
More Steps
Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
x−2=±2
Separate the equation into 2 possible cases
x−2=2x−2=−2
Calculate
More Steps
Evaluate
x−2=2
Move the constant to the right-hand side and change its sign
x=2+2
Add the numbers
x=4
x=4x−2=−2
Calculate
More Steps
Evaluate
x−2=−2
Move the constant to the right-hand side and change its sign
x=−2+2
Add the numbers
x=0
x=4x=0
Solution
x1=0,x2=4
Show Solution