Question

How do you foil `(2x+5)(4x-3)`?

Answer 1

`8x^2+14x-15`

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 the given example: `(2x+5)(4x-3)`
`color(white)("XXXX")`First terms: `2x, 4x` `color(white)("XXXX")`Product `= 8x^2`
`color(white)("XXXX")`Outside terms: `2x, -3` `color(white)("XXXX")`Product `= -6x`
`color(white)("XXXX")`Inside terms: `5, 4x` `color(white)("XXXX")`Product `= 20x`
`color(white)("XXXX")`Last terms: 5, -3#`color(white)("XXXX")`Product `= -15`

Sum
`color(white)("XXXX")` `= 8x^2-6x+20x-15`

`color(white)("XXXX")` `= 8x^2+14x-15`