Question

How do you factor the expression `-2a^2-ab+3b^2`?

Answer 1

`-(a-b)(2a+3b)`

Explanation:

`−2a^2−ab+3b^2` => Factor out -1:
`=-(2a^2+ab-3b^2)`
Write the 2nd term as factors of 1st and last term i.e:
`ab=-2ab+3ab` => We get:
`=-(2a^2-2ab+3ab-3b^2)` => Factor by grouping:
`=-[2a(a-b)+3b(a-b)]` => Finally:
`=-(a-b)(2a+3b)`