Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x+2
Evaluate
x−2x−2
Multiply by the Conjugate
(x−2)(x+2)(x−2)(x+2)
Simplify the expression
(x−2)(x+2)xx−2x+2×x−22
Simplify the expression
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Evaluate
(x−2)(x+2)
Use (a−b)(a+b)=a2−b2 to simplify the product
(x)2−(2)2
Reduce the index of the radical and exponent with 2
x−(2)2
Reduce the index of the radical and exponent with 2
x−2
x−2xx−2x+2×x−22
Calculate
x−2(x+2)(x−2)
Solution
x+2
Show Solution
Find the roots
x∈∅
Evaluate
x−2x−2
To find the roots of the expression,set the expression equal to 0
x−2x−2=0
Find the domain
More Steps
Evaluate
{x≥0x−2=0
Calculate
More Steps
Evaluate
x−2=0
Add or subtract both sides
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(x)2=(2)2
Evaluate the power
x=2
{x≥0x=2
Find the intersection
x∈[0,2)∪(2,+∞)
x−2x−2=0,x∈[0,2)∪(2,+∞)
Calculate
x−2x−2=0
Cross multiply
x−2=(x−2)×0
Simplify the equation
x−2=0
Move the constant to the right side
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
Check if the solution is in the defined range
x=2,x∈[0,2)∪(2,+∞)
Solution
x∈∅
Show Solution