Question
Simplify the expression
−27x2y−27xz2+27x2z−27y2z+27y2x+27yz2
Evaluate
(x−y)×3(y−z)×3(z−x)×3
Rewrite the expression in exponential form
(x−y)×33(y−z)(z−x)
Multiply the first two terms
33(x−y)(y−z)(z−x)
Evaluate the power
27(x−y)(y−z)(z−x)
Multiply the terms
(27x−27y)(y−z)(z−x)
Multiply the terms
More Steps

Evaluate
(27x−27y)(y−z)
Apply the distributive property
27xy−27xz−27y×y−(−27yz)
Multiply the terms
27xy−27xz−27y2−(−27yz)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
27xy−27xz−27y2+27yz
(27xy−27xz−27y2+27yz)(z−x)
Apply the distributive property
27xyz−27xyx−27xz×z−(−27xzx)−27y2z−(−27y2x)+27yz×z−27yzx
Multiply the terms
27xyz−27x2y−27xz×z−(−27xzx)−27y2z−(−27y2x)+27yz×z−27yzx
Multiply the terms
27xyz−27x2y−27xz2−(−27xzx)−27y2z−(−27y2x)+27yz×z−27yzx
Multiply the terms
27xyz−27x2y−27xz2−(−27x2z)−27y2z−(−27y2x)+27yz×z−27yzx
Multiply the terms
27xyz−27x2y−27xz2−(−27x2z)−27y2z−(−27y2x)+27yz2−27yzx
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
27xyz−27x2y−27xz2+27x2z−27y2z+27y2x+27yz2−27yzx
Subtract the terms
More Steps

Evaluate
27xyz−27yzx
Rewrite the expression
27xyz−27xyz
Collect like terms by calculating the sum or difference of their coefficients
(27−27)xyz
Subtract the numbers
0×xyz
Any expression multiplied by 0 equals 0
0
0−27x2y−27xz2+27x2z−27y2z+27y2x+27yz2
Solution
−27x2y−27xz2+27x2z−27y2z+27y2x+27yz2
Show Solution
