Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4xdx+2d
Evaluate
d×4x2−8xx2−4
Divide the terms
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Evaluate
4x2−8xx2−4
Factor the expression
4x2−8x(x−2)(x+2)
Factor the expression
4x(x−2)(x−2)(x+2)
Reduce the fraction
4xx+2
d×4xx+2
Multiply the terms
4xd(x+2)
Solution
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Evaluate
d(x+2)
Apply the distributive property
dx+d×2
Use the commutative property to reorder the terms
dx+2d
4xdx+2d
Show Solution
Find the excluded values
x=0,x=2
Evaluate
d×4x2−8xx2−4
To find the excluded values,set the denominators equal to 0
4x2−8x=0
Factor the expression
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Evaluate
4x2−8x
Rewrite the expression
4x×x−4x×2
Factor out 4x from the expression
4x(x−2)
4x(x−2)=0
When the product of factors equals 0,at least one factor is 0
4x=0x−2=0
Solve the equation for x
x=0x−2=0
Solve the equation for x
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Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=0x=2
Solution
x=0,x=2
Show Solution