Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2a−4b−2ab2+ab3+2b3−b4
Evaluate
2(a−2b)−(a−b)(2−b)b2
Rewrite the expression
2(a−2b)+(−a+b)(2−b)b2
Expand the expression
More Steps
Calculate
2(a−2b)
Apply the distributive property
2a−2×2b
Multiply the numbers
2a−4b
2a−4b+(−a+b)(2−b)b2
Solution
More Steps
Calculate
(−a+b)(2−b)b2
Simplify
More Steps
Evaluate
(−a+b)(2−b)
Apply the distributive property
−a×2−(−ab)+b×2−b×b
Use the commutative property to reorder the terms
−2a−(−ab)+b×2−b×b
Use the commutative property to reorder the terms
−2a−(−ab)+2b−b×b
Multiply the terms
−2a−(−ab)+2b−b2
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2a+ab+2b−b2
(−2a+ab+2b−b2)b2
Apply the distributive property
−2ab2+ab×b2+2b×b2−b2×b2
Multiply the terms
More Steps
Evaluate
b×b2
Use the product rule an×am=an+m to simplify the expression
b1+2
Add the numbers
b3
−2ab2+ab3+2b×b2−b2×b2
Multiply the terms
More Steps
Evaluate
b×b2
Use the product rule an×am=an+m to simplify the expression
b1+2
Add the numbers
b3
−2ab2+ab3+2b3−b2×b2
Multiply the terms
More Steps
Evaluate
b2×b2
Use the product rule an×am=an+m to simplify the expression
b2+2
Add the numbers
b4
−2ab2+ab3+2b3−b4
2a−4b−2ab2+ab3+2b3−b4
Show Solution
