Answer:
[tex]x^2-15x+56[/tex]
Step-by-step explanation:
Use the FOIL distributive method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
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Thus, [tex]\left(x-7\right)\left(x-8\right)=x\times x +x\left(-8\right)+\left(-7\right)x+\left(-7\right)\left(-8\right)[/tex]
Multiply them to get:
[tex]x^2-8x-7x+56[/tex]
[tex]x^2-15x+56[/tex]
