1. Find multiplication of `x-2` and `x^2+4x-8`

Solution:
Method-1: Multiply using the Distributive property
`(x-2)*(x^2+4x-8)`

`=x*(x^2+4x-8)-2*(x^2+4x-8)` [Distribute `(x^2+4x-8)`]

`=x^3+4x^2-8x-2x^2-8x+16` (Distribute again)

`=color{maroon}{ x^3}color{blue}{ + 4x^2}color{green}{ - 8x}color{blue}{ - 2x^2}color{green}{ - 8x}color{red}{ + 16}` (Identify like terms)

`=color{maroon}{ x^3}color{blue}{ + 4x^2}color{blue}{ - 2x^2}color{green}{ - 8x}color{green}{ - 8x}color{red}{ + 16}` (Rearrange terms to get like terms together)

`=color{maroon}{ x^3}color{blue}{ + 2x^2}color{green}{ - 16x}color{red}{ + 16}` (Combine like terms)

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Method-2: Multiply using the Vertical method

Solution using Vertical method

	`x^2+4x-8`
`xx`	`x-2`
	`-2x^2-8x+16`	`larr` Multiply `(x^2+4x-8)` by `-2`
	`x^3+4x^2-8x`	`larr` Multiply `(x^2+4x-8)` by `x`
	`x^3+2x^2-16x+16`	`larr` Add like terms