Question
Simplify the expression
4xy−x2−y2x+yx2
Evaluate
x(4y−x)−(y−x)yx
Multiply the terms
x(4y−x)−yx(y−x)
Expand the expression
More Steps

Calculate
x(4y−x)
Apply the distributive property
x×4y−x×x
Use the commutative property to reorder the terms
4xy−x×x
Multiply the terms
4xy−x2
4xy−x2−yx(y−x)
Solution
More Steps

Calculate
−yx(y−x)
Apply the distributive property
−yxy−(−yx×x)
Multiply the terms
−y2x−(−yx×x)
Multiply the terms
−y2x−(−yx2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−y2x+yx2
4xy−x2−y2x+yx2
Show Solution

Factor the expression
x(4y−x−y2+yx)
Evaluate
x(4y−x)−(y−x)yx
Multiply the terms
x(4y−x)−yx(y−x)
Rewrite the expression
x(4y−x)−xy(y−x)
Factor out x from the expression
x(4y−x−y(y−x))
Solution
x(4y−x−y2+yx)
Show Solution
