Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x5y2−9x4y3+9x3y4−3y5x2
Evaluate
(x−y)3×3xyxy
Multiply the terms
(x−y)3×3x2y×y
Multiply the terms
(x−y)3×3x2y2
Use the commutative property to reorder the terms
3(x−y)3x2y2
Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression
3(x3−3x2y+3xy2−y3)x2y2
Multiply the terms
More Steps
Evaluate
3(x3−3x2y+3xy2−y3)
Apply the distributive property
3x3−3×3x2y+3×3xy2−3y3
Multiply the numbers
3x3−9x2y+3×3xy2−3y3
Multiply the numbers
3x3−9x2y+9xy2−3y3
(3x3−9x2y+9xy2−3y3)x2y2
Multiply the terms
More Steps
Evaluate
(3x3−9x2y+9xy2−3y3)x2
Apply the distributive property
3x3×x2−9x2yx2+9xy2x2−3y3x2
Multiply the terms
More Steps
Evaluate
x3×x2
Use the product rule an×am=an+m to simplify the expression
x3+2
Add the numbers
x5
3x5−9x2yx2+9xy2x2−3y3x2
Multiply the terms
More Steps
Evaluate
x2×x2
Use the product rule an×am=an+m to simplify the expression
x2+2
Add the numbers
x4
3x5−9x4y+9xy2x2−3y3x2
Multiply the terms
More Steps
Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
3x5−9x4y+9x3y2−3y3x2
(3x5−9x4y+9x3y2−3y3x2)y2
Apply the distributive property
3x5y2−9x4y×y2+9x3y2×y2−3y3x2y2
Multiply the terms
More Steps
Evaluate
y×y2
Use the product rule an×am=an+m to simplify the expression
y1+2
Add the numbers
y3
3x5y2−9x4y3+9x3y2×y2−3y3x2y2
Multiply the terms
More Steps
Evaluate
y2×y2
Use the product rule an×am=an+m to simplify the expression
y2+2
Add the numbers
y4
3x5y2−9x4y3+9x3y4−3y3x2y2
Solution
More Steps
Evaluate
y3×y2
Use the product rule an×am=an+m to simplify the expression
y3+2
Add the numbers
y5
3x5y2−9x4y3+9x3y4−3y5x2
Show Solution
