Simplify (3ab+5c)(3ab-5c)

Math
(3ab+5c)(3ab-5c)
Expand (3ab+5c)(3ab-5c) using the FOIL Method.
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Apply the distributive property.
3ab(3ab-5c)+5c(3ab-5c)
Apply the distributive property.
3ab(3ab)+3ab(-5c)+5c(3ab-5c)
Apply the distributive property.
3ab(3ab)+3ab(-5c)+5c(3ab)+5c(-5c)
3ab(3ab)+3ab(-5c)+5c(3ab)+5c(-5c)
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a by adding the exponents.
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Move a.
3(a⋅a)b(3b)+3ab(-5c)+5c(3ab)+5c(-5c)
Multiply a by a.
3a2b(3b)+3ab(-5c)+5c(3ab)+5c(-5c)
3a2b(3b)+3ab(-5c)+5c(3ab)+5c(-5c)
Multiply b by b by adding the exponents.
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Move b.
3a2(b⋅b)⋅3+3ab(-5c)+5c(3ab)+5c(-5c)
Multiply b by b.
3a2b2⋅3+3ab(-5c)+5c(3ab)+5c(-5c)
3a2b2⋅3+3ab(-5c)+5c(3ab)+5c(-5c)
Multiply 3 by 3.
9a2b2+3ab(-5c)+5c(3ab)+5c(-5c)
Multiply -5 by 3.
9a2b2-15abc+5c(3ab)+5c(-5c)
Multiply 3 by 5.
9a2b2-15abc+15c(ab)+5c(-5c)
Multiply c by c.
9a2b2-15abc+15cab+5⋅-5c2
Multiply 5 by -5.
9a2b2-15abc+15cab-25c2
9a2b2-15abc+15cab-25c2
Add -15abc and 15cab.
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Move c.
9a2b2-15abc+15abc-25c2
Add -15abc and 15abc.
9a2b2+0-25c2
9a2b2+0-25c2
Add 9a2b2 and 0.
9a2b2-25c2
9a2b2-25c2
Simplify (3ab+5c)(3ab-5c)

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