Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
yx−x2−yy2
Evaluate
xy×xx×y−x−xyy
Divide the terms
xy×1×y−x−xyy
Any expression multiplied by 1 remains the same
xy×y−x−xyy
Subtract the terms
More Steps
Evaluate
y−x−xy
Reduce fractions to a common denominator
xyx−xx×x−xy
Write all numerators above the common denominator
xyx−x×x−y
Multiply the terms
xyx−x2−y
xy×xyx−x2−yy
Divide the terms
More Steps
Evaluate
xyx−x2−yy
Multiply by the reciprocal
y×yx−x2−yx
Multiply the terms
yx−x2−yyx
xy×yx−x2−yyx
Cancel out the common factor x
y×yx−x2−yy
Multiply the terms
yx−x2−yy×y
Solution
yx−x2−yy2
Show Solution
Find the excluded values
x=0
Evaluate
xy×xx×y−x−xyy
To find the excluded values,set the denominators equal to 0
x=0xx×y−x−xy=0
Solution
More Steps
Evaluate
xx×y−x−xy=0
Simplify
More Steps
Evaluate
xx×y−x−xy
Divide the terms
1×y−x−xy
Any expression multiplied by 1 remains the same
y−x−xy
y−x−xy=0
Multiply both sides of the equation by LCD
(y−x−xy)x=0×x
Simplify the equation
More Steps
Evaluate
(y−x−xy)x
Apply the distributive property
yx−x×x−xy×x
Simplify
yx−x×x−y
Multiply the terms
yx−x2−y
yx−x2−y=0×x
Any expression multiplied by 0 equals 0
yx−x2−y=0
Move the expression to the right side
yx−y=0+x2
Simplify
yx−y=x2
Divide both sides
y=x−1x2
x=0
Show Solution