Question

How do you foil `(x-8)(x-4)`?

Answer 1

Sum (product of First terms, product of Outside terms, product of Inside terms, and product of Last terms) to get
`color(white)("XXXX")` `x^2-12x+32`

Explanation:

Evaluating the product of two binomials using FOIL:

Sum
`color(white)("XXXX")`product of First terms
`color(white)("XXXX")`product of Outside terms
`color(white)("XXXX")`product of Inside terms
`color(white)("XXXX")`product of Last terms

For `(x-8)(x-4)`
`color(white)("XXXX")`First terms: `x, x` `color(white)("XXXXXXX")`Product `= x^2`
`color(white)("XXXX")`Outside terms: `x, -4` `color(white)("XXX")`Product `= -4x`
`color(white)("XXXX")`Inside terms: `-8, x` `color(white)("XXXXX")`Product `= -8xx`
`color(white)("XXXX")`Last terms: `-8, -4` `color(white)("XXXXX")`Product `= +32`

Sum
`color(white)("XXXX")` `= x^2-4x-8x+32`

Combining terms with same exponent of `x`
`color(white)("XXXX")` `= x^2-12x+32`