Question

Factor completely: 10m2 + 5mp - 6mn - 3np

Answer 1

Answer:(5m-3n)(2m+p)

Explanation:

Answer 2

When you factor this polynomial expression
`10m^(2)+5mp-6mn-3np` you get that is equal to
`(p+2m)(5m-3n)`

Explanation:

1. Factor
   `10m^(2)+5mp` :

1.1 Apply exponent rule
`a^(b+c)=a^(b)a^(c)` in this term
`m^(2) =m^(1) m^(1)` so
`10m^(2)+5mp =10mm+5mp`

1.2 Rewrite as
`10mm+5mp = 2*5mm+5mp`

1.3 Factor out common term 5m,
`5m(2m+p)`

2. Factor
`-6mn-3mp` :

2.1 Rewrite as
`-2*3mn-3np`

2.2 Factor out common term -3n,
`-3n(2m+p)`

3. Factor out common term
`5m(2m+p)-3n(2m+p)` which is equal to
`(p+2m)(5m-3n)`