Question

(4x+1)(3x-2)?

Answer 1

`12x^2-5x-2`

Explanation:

Use F.O.I.L. (First, Outside, Inside, Last). Multiply the first terms, `4x` and `3x`, to get `12x^2`. Then the outside term, `4x` and `-2`, to get `-8x`.

Then the inside, `1` and `3x`, to get `3x`. Finally, the last terms, `1` and `-2`, to get `-2`. You now have

`12x^2-8x+3x-2`

This can be simplified to

`12x^2-5x-2`

Answer 2

`12x^2-5x-2`

Explanation:

`"each term in the second bracket is multiplied by"`
`"each term in the first bracket"`

`=(color(red)(4x+1))(3x-2)`

`=color(red)(4x)(3x-2)color(red)(+1)(3x-2)larrcolor(blue)"distribute"`

`=(color(red)(4x)xx3x)+(color(red)(4x)xx-2)+(color(red)(1)xx3x)+(color(red)(1)xx-2)`

`=12x^2color(blue)(-8x)color(blue)(+3x)-2larrcolor(magenta)"collect like terms"`

`=12x^2-5x-2`