(x+9)(x8)(x+9)(x-8)

1
Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
x28x+9x72{x}^{2}-8x+9x-72

2
Collect like terms.
x2+(8x+9x)72{x}^{2}+(-8x+9x)-72

3
Simplify.
x2+x72{x}^{2}+x-72

Done

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