Question

How do you simplify `(x^2 + 5x + 8)(x^2 + 2x + 6)`?

Answer 1

`color(blue)(x^4+7x^3+24x^2+46x+48`

Explanation:

`color(white)(aaaaaaaaaaaaa)` `x^2+5x+8`
`color(white)(aaaaaaaaaaaaa)` `x^2+2x+6`
`color(white)(aaaaaaaaaaaaa)` `-----`
`color(white)(aaaaaaaaaaaaa)` `x^4+5x^3+8x^2`
`color(white)(aaaaaaaaaaaaaaaaa)` `2x^3+10x^2+16x`
`color(white)(aaaaaaaaaaaaaaaaaaaaaaa)` `6x^2+30x+48`
`color(white)(aaaaaaaaaaaaa)` `----------`
`color(white)(aaaaaaaaaaaa)` `color(blue)(x^4+7x^3+24x^2+46x+48`