Simplify (7a^2-12y^3)(7a^2+12y^3)

Math
(7a2-12y3)(7a2+12y3)
Expand (7a2-12y3)(7a2+12y3) using the FOIL Method.
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Apply the distributive property.
7a2(7a2+12y3)-12y3(7a2+12y3)
Apply the distributive property.
7a2(7a2)+7a2(12y3)-12y3(7a2+12y3)
Apply the distributive property.
7a2(7a2)+7a2(12y3)-12y3(7a2)-12y3(12y3)
7a2(7a2)+7a2(12y3)-12y3(7a2)-12y3(12y3)
Simplify and combine like terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
7⋅7(a2a2)+7a2(12y3)-12y3(7a2)-12y3(12y3)
Multiply a2 by a2 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
7⋅7a2+2+7a2(12y3)-12y3(7a2)-12y3(12y3)
Add 2 and 2.
7⋅7a4+7a2(12y3)-12y3(7a2)-12y3(12y3)
7⋅7a4+7a2(12y3)-12y3(7a2)-12y3(12y3)
Multiply 7 by 7.
49a4+7a2(12y3)-12y3(7a2)-12y3(12y3)
Rewrite using the commutative property of multiplication.
49a4+7⋅12(a2y3)-12y3(7a2)-12y3(12y3)
Multiply 7 by 12.
49a4+84(a2y3)-12y3(7a2)-12y3(12y3)
Rewrite using the commutative property of multiplication.
49a4+84a2y3-12⋅7(y3a2)-12y3(12y3)
Multiply -12 by 7.
49a4+84a2y3-84(y3a2)-12y3(12y3)
Rewrite using the commutative property of multiplication.
49a4+84a2y3-84y3a2-12⋅12(y3y3)
Multiply y3 by y3 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
49a4+84a2y3-84y3a2-12⋅12y3+3
Add 3 and 3.
49a4+84a2y3-84y3a2-12⋅12y6
49a4+84a2y3-84y3a2-12⋅12y6
Multiply -12 by 12.
49a4+84a2y3-84y3a2-144y6
49a4+84a2y3-84y3a2-144y6
Subtract 84y3a2 from 84a2y3.
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Move y3.
49a4+84a2y3-84a2y3-144y6
Subtract 84a2y3 from 84a2y3.
49a4+0-144y6
49a4+0-144y6
Add 49a4 and 0.
49a4-144y6
49a4-144y6
Simplify (7a^2-12y^3)(7a^2+12y^3)

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