Simplify (a-b)^3

Math
(a-b)3
Use the Binomial Theorem.
a3+3a2(-b)+3a(-b)2+(-b)3
Simplify each term.
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Rewrite using the commutative property of multiplication.
a3+3⋅-1(a2b)+3a(-b)2+(-b)3
Multiply 3 by -1.
a3-3(a2b)+3a(-b)2+(-b)3
Apply the product rule to -b.
a3-3a2b+3a((-1)2b2)+(-b)3
Rewrite using the commutative property of multiplication.
a3-3a2b+3⋅(-1)2(ab2)+(-b)3
Raise -1 to the power of 2.
a3-3a2b+3⋅1(ab2)+(-b)3
Multiply 3 by 1.
a3-3a2b+3(ab2)+(-b)3
Apply the product rule to -b.
a3-3a2b+3ab2+(-1)3b3
Raise -1 to the power of 3.
a3-3a2b+3ab2-b3
a3-3a2b+3ab2-b3
Simplify (a-b)^3

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