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

x3squared-3x2squared-18x

Step-by-step 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