Question
Simplify the expression
12x4y−3xy3−4y2x3+y4
Evaluate
(3x−y)(x2×4xy−y3)
Multiply
More Steps

Evaluate
x2×4xy
Multiply the terms with the same base by adding their exponents
x2+1×4y
Add the numbers
x3×4y
Use the commutative property to reorder the terms
4x3y
(3x−y)(4x3y−y3)
Apply the distributive property
3x×4x3y−3xy3−y×4x3y−(−y×y3)
Multiply the terms
More Steps

Evaluate
3x×4x3y
Multiply the numbers
12x×x3y
Multiply the terms
More Steps

Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
12x4y
12x4y−3xy3−y×4x3y−(−y×y3)
Multiply the terms
More Steps

Evaluate
−y×4x3y
Multiply the numbers
−4yx3y
Multiply the terms
−4y2x3
12x4y−3xy3−4y2x3−(−y×y3)
Multiply the terms
More Steps

Evaluate
y×y3
Use the product rule an×am=an+m to simplify the expression
y1+3
Add the numbers
y4
12x4y−3xy3−4y2x3−(−y4)
Solution
12x4y−3xy3−4y2x3+y4
Show Solution

Factor the expression
y(3x−y)(4x3−y2)
Evaluate
(3x−y)(x2×4xy−y3)
Multiply
More Steps

Evaluate
x2×4xy
Multiply the terms with the same base by adding their exponents
x2+1×4y
Add the numbers
x3×4y
Use the commutative property to reorder the terms
4x3y
(3x−y)(4x3y−y3)
Factor the expression
More Steps

Evaluate
4x3y−y3
Calculate
4yx3−y3
Rewrite the expression
y×4x3−y×y2
Factor out y from the expression
y(4x3−y2)
(3x−y)y(4x3−y2)
Solution
y(3x−y)(4x3−y2)
Show Solution
