Simplify (a-3b)^2

Math
(a-3b)2
Rewrite (a-3b)2 as (a-3b)(a-3b).
(a-3b)(a-3b)
Expand (a-3b)(a-3b) using the FOIL Method.
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Apply the distributive property.
a(a-3b)-3b(a-3b)
Apply the distributive property.
a⋅a+a(-3b)-3b(a-3b)
Apply the distributive property.
a⋅a+a(-3b)-3ba-3b(-3b)
a⋅a+a(-3b)-3ba-3b(-3b)
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
a2+a(-3b)-3ba-3b(-3b)
Rewrite using the commutative property of multiplication.
a2-3ab-3ba-3b(-3b)
Multiply b by b.
a2-3ab-3ba-3⋅-3b2
Multiply -3 by -3.
a2-3ab-3ba+9b2
a2-3ab-3ba+9b2
Subtract 3ba from -3ab.
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Move b.
a2-3ab-3ab+9b2
Subtract 3ab from -3ab.
a2-6ab+9b2
a2-6ab+9b2
a2-6ab+9b2
Simplify (a-3b)^2

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