Question
Simplify the expression
dx−yd2x
Evaluate
d×d×yx−1d×yx×1
Multiply the terms
d×ydx−1d×yx×1
Multiply the terms
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Multiply the terms
d×yx×1
Rewrite the expression
d×yx
Multiply the terms
ydx
d×ydx−1ydx
Subtract the terms
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Simplify
ydx−1
Reduce fractions to a common denominator
ydx−yy
Write all numerators above the common denominator
ydx−y
d×ydx−yydx
Divide the terms
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Evaluate
ydx−yydx
Multiply by the reciprocal
ydx×dx−yy
Cancel out the common factor y
dx×dx−y1
Multiply the terms
dx−ydx
d×dx−ydx
Multiply the terms
dx−yd×dx
Solution
dx−yd2x
Show Solution

Find the excluded values
y=0,d=xy
Evaluate
d×d×yx−1d×yx×1
To find the excluded values,set the denominators equal to 0
y=0d×yx−1=0
Solve the equations
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Evaluate
d×yx−1=0
Multiply the terms
ydx−1=0
Multiply both sides of the equation by LCD
(ydx−1)y=0×y
Simplify the equation
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Evaluate
(ydx−1)y
Apply the distributive property
ydx×y−y
Simplify
dx−y
dx−y=0×y
Any expression multiplied by 0 equals 0
dx−y=0
Move the expression to the right side
dx=0+y
Simplify
dx=y
Divide both sides
d=xy
y=0d=xy
Solution
y=0,d=xy
Show Solution
