Question

How do you factor the expression `35m^2 - 19mn - 42n^2`?

Answer 1

`(7m + 6n)(5m - 7n)`

Explanation:

Find factors of 35 and 42 which combine and subtract to give 19.
"35 and 42"
`" 7 6"` `" "5 xx +6 = 3+0`
`" 5 7"` `" "7 xx -7 = -49 rArr` -49 + 30 =-19

`(7m + 6n)(5m - 7n)`