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4 votes
1. f(x) = x(x-6)(x+3)

User Tpbowden
by
5.0k points

1 Answer

4 votes

Answer:

x3squared-3x2squared-18x

Explanation:

1 Expand by distributing terms.

({x}^{2}-6x)(x+3)(x

​2

​​ −6x)(x+3)

2 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

{x}^{3}+3{x}^{2}-6{x}^{2}-18xx

​3

​​ +3x

​2

​​ −6x

​2

​​ −18x

3 Collect like terms.

{x}^{3}+(3{x}^{2}-6{x}^{2})-18xx

​3

​​ +(3x

​2

​​ −6x

​2

​​ )−18x

4 Simplify.

{x}^{3}-3{x}^{2}-18xx

​3

​​ −3x

​2

​​ −18x

User Pholz
by
4.4k points