Question

How do you multiply `(2b-1)(b^2-3b+4)`?

Answer 1

`color(red)(2b^3-4b^2+11b-4)`

Explanation:

`color(magenta)(""(2b-1))(b^2-3b+4)`

using the distributive property:
`color(white)("XXX")=color(magenta)(2b)(b^2-3b+4)color(white)("xxxx")color(magenta)(-1)(b^2-3b+4)`

`color(white)("XXX")=2b^3-3b^2+8bcolor(white)("xxxx)-b^2+3b-4`

combining like terms:
`color(white)("XXX")=2b^3-4b^2+11b-4`