Multiply (3a+5p)(3a-5p)

Math
(3a+5p)(3a-5p)
Expand (3a+5p)(3a-5p) using the FOIL Method.
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Apply the distributive property.
3a(3a-5p)+5p(3a-5p)
Apply the distributive property.
3a(3a)+3a(-5p)+5p(3a-5p)
Apply the distributive property.
3a(3a)+3a(-5p)+5p(3a)+5p(-5p)
3a(3a)+3a(-5p)+5p(3a)+5p(-5p)
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
3⋅3a2+3a(-5p)+5p(3a)+5p(-5p)
Multiply 3 by 3.
9a2+3a(-5p)+5p(3a)+5p(-5p)
Rewrite using the commutative property of multiplication.
9a2+3⋅-5(ap)+5p(3a)+5p(-5p)
Multiply 3 by -5.
9a2-15(ap)+5p(3a)+5p(-5p)
Rewrite using the commutative property of multiplication.
9a2-15ap+5⋅3(pa)+5p(-5p)
Multiply 5 by 3.
9a2-15ap+15(pa)+5p(-5p)
Multiply p by p.
9a2-15ap+15pa+5⋅-5p2
Multiply 5 by -5.
9a2-15ap+15pa-25p2
9a2-15ap+15pa-25p2
Add -15ap and 15pa.
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Move p.
9a2-15ap+15ap-25p2
Add -15ap and 15ap.
9a2+0-25p2
9a2+0-25p2
Add 9a2 and 0.
9a2-25p2
9a2-25p2
Multiply (3a+5p)(3a-5p)

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