Multiply (2a-3b)(2a+3b)

Math
(2a-3b)(2a+3b)
Expand (2a-3b)(2a+3b) using the FOIL Method.
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Apply the distributive property.
2a(2a+3b)-3b(2a+3b)
Apply the distributive property.
2a(2a)+2a(3b)-3b(2a+3b)
Apply the distributive property.
2a(2a)+2a(3b)-3b(2a)-3b(3b)
2a(2a)+2a(3b)-3b(2a)-3b(3b)
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
2⋅2a2+2a(3b)-3b(2a)-3b(3b)
Multiply 2 by 2.
4a2+2a(3b)-3b(2a)-3b(3b)
Rewrite using the commutative property of multiplication.
4a2+2⋅3(ab)-3b(2a)-3b(3b)
Multiply 2 by 3.
4a2+6(ab)-3b(2a)-3b(3b)
Rewrite using the commutative property of multiplication.
4a2+6ab-3⋅2(ba)-3b(3b)
Multiply -3 by 2.
4a2+6ab-6(ba)-3b(3b)
Multiply b by b.
4a2+6ab-6ba-3⋅3b2
Multiply -3 by 3.
4a2+6ab-6ba-9b2
4a2+6ab-6ba-9b2
Subtract 6ba from 6ab.
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Move b.
4a2+6ab-6ab-9b2
Subtract 6ab from 6ab.
4a2+0-9b2
4a2+0-9b2
Add 4a2 and 0.
4a2-9b2
4a2-9b2
Multiply (2a-3b)(2a+3b)

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