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Multiple the polynomial by monomial. (Simplify) 6q^3( q^2 - 2q + 6)

Answer :

Answer:

To simplify the given polynomial,

[tex]6q^3\mleft(q^2-2q+6\mright)[/tex]

we know that,

[tex]a^n\times a^m=a^{n+m}[/tex]

using this property we get,

[tex]6q^3\mleft(q^2-2q+6\mright)=6q^{3+2}-12q^{3+1}+36q^3[/tex][tex]=6q^5-12q^4+36q^3[/tex]

Answer is:

[tex]=6q^5-12q^4+36q^3[/tex]

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