Question

Use the distributive Property to simplify: (x-7)(x-8)

Answer 1

`x^2-15x+56`

Explanation:

Use the FOIL distributive method:
`\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd`

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Thus,
`\left(x-7\right)\left(x-8\right)=x* x +x\left(-8\right)+\left(-7\right)x+\left(-7\right)\left(-8\right)`

Multiply them to get:

`x^2-8x-7x+56`

`x^2-15x+56`