Question
Simplify the expression
8x3y3−2y3+6y2x−6yx2+2x3
Evaluate
(2xy)3−2(y−x)3
Rewrite the expression
8x3y3−2(y−x)3
Solution
More Steps

Calculate
−2(y−x)3
Simplify
−2(y3−3y2x+3yx2−x3)
Apply the distributive property
−2y3−(−2×3y2x)−2×3yx2−(−2x3)
Multiply the numbers
−2y3−(−6y2x)−2×3yx2−(−2x3)
Multiply the numbers
−2y3−(−6y2x)−6yx2−(−2x3)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2y3+6y2x−6yx2+2x3
8x3y3−2y3+6y2x−6yx2+2x3
Show Solution

Factor the expression
2(4x3y3−y3+3y2x−3yx2+x3)
Evaluate
(2xy)3−2(y−x)3
Simplify
8x3y3−2(y−x)3
Simplify
More Steps

Evaluate
−2(y−x)3
Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression
−2(y3−3y2x+3yx2−x3)
Apply the distributive property
−2y3−2(−3y2x)−2×3yx2−2(−x3)
Multiply the terms
More Steps

Evaluate
−2(−3)
Multiplying or dividing an even number of negative terms equals a positive
2×3
Multiply the numbers
6
−2y3+6y2x−2×3yx2−2(−x3)
Multiply the terms
−2y3+6y2x−6yx2−2(−x3)
Multiply the terms
−2y3+6y2x−6yx2+2x3
8x3y3−2y3+6y2x−6yx2+2x3
Solution
2(4x3y3−y3+3y2x−3yx2+x3)
Show Solution
