Question

How do you divide `(-15y^7z^4+21y^7z^6-97Y3z)-:(3y^5z^2)`?

Answer 1

Assumption that you intended the question to be:
`(-15y^7z^4+21y^7z^6-97y^3z)-:(3y^5z^2)`

Solution:`-> -5y^2z^2+7y^2z^4-32 1/3y^(-2)z^(-1)`

Explanation:

`" "-15y^7z^4+21y^7z^6-97y^3z`
`color(magenta)(-5y^2z^2)(3y^5z^2)->ul(-15y^7z^4color(white)(00000) larr" subtract")`
`" "color(white)(000)0+21y^7z^6-97y^3z`
`color(magenta)(+7y^2z^4)(3y^5z^2)->" "color(white)(.)ul(+21y^7z^6color(white)(0)larr" subtract")`
`" "0-97y^3z`
`color(magenta)(-32 1/3y^(-2)z^(-1))(3y^5z^2)->" "ul(color(white)(0)-97y^3z larr" subtract")`
`" "0`

`color(magenta)(-5y^2z^2+7y^2z^4-32 1/3y^(-2)z^(-1)`