Multiply (3a+9)(7a^2-9a+2)

Math
(3a+9)(7a2-9a+2)
Expand (3a+9)(7a2-9a+2) by multiplying each term in the first expression by each term in the second expression.
3a(7a2)+3a(-9a)+3a⋅2+9(7a2)+9(-9a)+9⋅2
Simplify terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
3⋅7(a⋅a2)+3a(-9a)+3a⋅2+9(7a2)+9(-9a)+9⋅2
Multiply a by a2 by adding the exponents.
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Multiply a by a2.
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Raise a to the power of 1.
3⋅7(a1a2)+3a(-9a)+3a⋅2+9(7a2)+9(-9a)+9⋅2
Use the power rule aman=am+n to combine exponents.
3⋅7a1+2+3a(-9a)+3a⋅2+9(7a2)+9(-9a)+9⋅2
3⋅7a1+2+3a(-9a)+3a⋅2+9(7a2)+9(-9a)+9⋅2
Add 1 and 2.
3⋅7a3+3a(-9a)+3a⋅2+9(7a2)+9(-9a)+9⋅2
3⋅7a3+3a(-9a)+3a⋅2+9(7a2)+9(-9a)+9⋅2
Multiply 3 by 7.
21a3+3a(-9a)+3a⋅2+9(7a2)+9(-9a)+9⋅2
Multiply a by a.
21a3+3⋅-9a2+3a⋅2+9(7a2)+9(-9a)+9⋅2
Multiply 3 by -9.
21a3-27a2+3a⋅2+9(7a2)+9(-9a)+9⋅2
Multiply 2 by 3.
21a3-27a2+6a+9(7a2)+9(-9a)+9⋅2
Multiply 7 by 9.
21a3-27a2+6a+63a2+9(-9a)+9⋅2
Multiply -9 by 9.
21a3-27a2+6a+63a2-81a+9⋅2
Multiply 9 by 2.
21a3-27a2+6a+63a2-81a+18
21a3-27a2+6a+63a2-81a+18
Simplify by adding terms.
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Add -27a2 and 63a2.
21a3+36a2+6a-81a+18
Subtract 81a from 6a.
21a3+36a2-75a+18
21a3+36a2-75a+18
21a3+36a2-75a+18
Multiply (3a+9)(7a^2-9a+2)

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