Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
y2−x2x2y2
Evaluate
xy−yxxy
Subtract the terms
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Simplify
xy−yx
Reduce fractions to a common denominator
xyy×y−yxx×x
Rewrite the expression
xyy×y−xyx×x
Write all numerators above the common denominator
xyy×y−x×x
Multiply the terms
xyy2−x×x
Multiply the terms
xyy2−x2
xyy2−x2xy
Multiply by the reciprocal
xy×y2−x2xy
Multiply the terms
y2−x2xyxy
Solution
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Evaluate
xyxy
Multiply the terms
x2y×y
Multiply the terms
x2y2
y2−x2x2y2
Show Solution
Find the excluded values
x=0,x=−y,x=y,y=0
Evaluate
xy−yxxy
To find the excluded values,set the denominators equal to 0
x=0y=0xy−yx=0
Solve the equations
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Evaluate
xy−yx=0
Multiply both sides of the equation by LCD
(xy−yx)xy=0×xy
Simplify the equation
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Evaluate
(xy−yx)xy
Apply the distributive property
xy×xy−yx×xy
Simplify
y×y−x×x
Multiply the terms
y2−x×x
Multiply the terms
y2−x2
y2−x2=0×xy
Any expression multiplied by 0 equals 0
y2−x2=0
Factor the expression
(y+x)(y−x)=0
Separate the equation into 2 possible cases
y+x=0y−x=0
Solve the equations
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Evaluate
y+x=0
Move the expression to the right side
x=0−y
Simplify
x=−y
x=−yy−x=0
Solve the equations
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Evaluate
y−x=0
Move the expression to the right side
−x=0−y
Simplify
−x=−y
Divide both sides
x=y
x=−yx=y
x=0y=0x=−yx=y
Solution
x=0,x=−y,x=y,y=0
Show Solution