Question
Simplify the expression
−4x3y−x2y−4y2
Evaluate
x3y−x2y−x2×5xy−4y2
Multiply
More Steps

Multiply the terms
−x2×5xy
Multiply the terms with the same base by adding their exponents
−x2+1×5y
Add the numbers
−x3×5y
Use the commutative property to reorder the terms
−5x3y
x3y−x2y−5x3y−4y2
Solution
More Steps

Evaluate
x3y−5x3y
Collect like terms by calculating the sum or difference of their coefficients
(1−5)x3y
Subtract the numbers
−4x3y
−4x3y−x2y−4y2
Show Solution

Factor the expression
−y(4x3+x2+4y)
Evaluate
x3y−x2y−x2×5xy−4y2
Multiply
More Steps

Multiply the terms
x2×5xy
Multiply the terms with the same base by adding their exponents
x2+1×5y
Add the numbers
x3×5y
Use the commutative property to reorder the terms
5x3y
x3y−x2y−5x3y−4y2
Subtract the terms
More Steps

Simplify
x3y−x2y−5x3y
Subtract the terms
More Steps

Evaluate
x3y−5x3y
Collect like terms by calculating the sum or difference of their coefficients
(1−5)x3y
Subtract the numbers
−4x3y
−4x3y−x2y
−4x3y−x2y−4y2
Calculate
−4yx3−yx2−4y2
Rewrite the expression
−y×4x3−yx2−y×4y
Solution
−y(4x3+x2+4y)
Show Solution
