Multiply 6ay(9a^2+2ay-3y^2)

Math
6ay(9a2+2ay-3y2)
Apply the distributive property.
6ay(9a2)+6ay(2ay)+6ay(-3y2)
Simplify.
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Multiply a by a2 by adding the exponents.
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Move a2.
6(a2a)y⋅9+6ay(2ay)+6ay(-3y2)
Multiply a2 by a.
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Raise a to the power of 1.
6(a2a1)y⋅9+6ay(2ay)+6ay(-3y2)
Use the power rule aman=am+n to combine exponents.
6a2+1y⋅9+6ay(2ay)+6ay(-3y2)
6a2+1y⋅9+6ay(2ay)+6ay(-3y2)
Add 2 and 1.
6a3y⋅9+6ay(2ay)+6ay(-3y2)
6a3y⋅9+6ay(2ay)+6ay(-3y2)
Multiply a by a by adding the exponents.
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Move a.
6a3y⋅9+6(a⋅a)y(2y)+6ay(-3y2)
Multiply a by a.
6a3y⋅9+6a2y(2y)+6ay(-3y2)
6a3y⋅9+6a2y(2y)+6ay(-3y2)
Multiply y by y2 by adding the exponents.
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Move y2.
6a3y⋅9+6a2y(2y)+6a(y2y)⋅-3
Multiply y2 by y.
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Raise y to the power of 1.
6a3y⋅9+6a2y(2y)+6a(y2y1)⋅-3
Use the power rule aman=am+n to combine exponents.
6a3y⋅9+6a2y(2y)+6ay2+1⋅-3
6a3y⋅9+6a2y(2y)+6ay2+1⋅-3
Add 2 and 1.
6a3y⋅9+6a2y(2y)+6ay3⋅-3
6a3y⋅9+6a2y(2y)+6ay3⋅-3
6a3y⋅9+6a2y(2y)+6ay3⋅-3
Simplify each term.
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Multiply 9 by 6.
54a3y+6a2y(2y)+6ay3⋅-3
Multiply y by y by adding the exponents.
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Move y.
54a3y+6a2(y⋅y)⋅2+6ay3⋅-3
Multiply y by y.
54a3y+6a2y2⋅2+6ay3⋅-3
54a3y+6a2y2⋅2+6ay3⋅-3
Multiply 2 by 6.
54a3y+12a2y2+6ay3⋅-3
Multiply -3 by 6.
54a3y+12a2y2-18ay3
54a3y+12a2y2-18ay3
Multiply 6ay(9a^2+2ay-3y^2)

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