Simplify (n^2+9n+18)(n+3)

Math
(n2+9n+18)(n+3)
Expand (n2+9n+18)(n+3) by multiplying each term in the first expression by each term in the second expression.
n2n+n2⋅3+9n⋅n+9n⋅3+18n+18⋅3
Simplify terms.
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Simplify each term.
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Multiply n2 by n by adding the exponents.
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Multiply n2 by n.
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Raise n to the power of 1.
n2n1+n2⋅3+9n⋅n+9n⋅3+18n+18⋅3
Use the power rule aman=am+n to combine exponents.
n2+1+n2⋅3+9n⋅n+9n⋅3+18n+18⋅3
n2+1+n2⋅3+9n⋅n+9n⋅3+18n+18⋅3
Add 2 and 1.
n3+n2⋅3+9n⋅n+9n⋅3+18n+18⋅3
n3+n2⋅3+9n⋅n+9n⋅3+18n+18⋅3
Move 3 to the left of n2.
n3+3⋅n2+9n⋅n+9n⋅3+18n+18⋅3
Multiply n by n by adding the exponents.
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Move n.
n3+3n2+9(n⋅n)+9n⋅3+18n+18⋅3
Multiply n by n.
n3+3n2+9n2+9n⋅3+18n+18⋅3
n3+3n2+9n2+9n⋅3+18n+18⋅3
Multiply 3 by 9.
n3+3n2+9n2+27n+18n+18⋅3
Multiply 18 by 3.
n3+3n2+9n2+27n+18n+54
n3+3n2+9n2+27n+18n+54
Simplify by adding terms.
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Add 3n2 and 9n2.
n3+12n2+27n+18n+54
Add 27n and 18n.
n3+12n2+45n+54
n3+12n2+45n+54
n3+12n2+45n+54
Simplify (n^2+9n+18)(n+3)

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