Question

How do you factor by grouping `63n^3 + 54n^2 - 105n - 90`?

Answer 1

`3(7n+6)(3n^2-5)`

Explanation:

`"take out a "color(blue)"common factor "3`

`=3(21n^3+18n^2-35n-30)`

`=3(color(red)(3n^2)(7n+6)color(red)(-5)(3n+6))`

`=3((7n+6)(color(red)(3n^2-5)))`

`=3(7n+6)(3n^2-5)`