\[(x-7)(x-8)\]

1
Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
x28x7x+56{x}^{2}-8x-7x+56

2
Collect like terms.
x2+(8x7x)+56{x}^{2}+(-8x-7x)+56

3
Simplify.
x215x+56{x}^{2}-15x+56

Done

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