Respuesta :
Answer:
When you factor this polynomial expression [tex]10m^{2}+5mp-6mn-3np[/tex] you get that is equal to [tex](p+2m)(5m-3n)[/tex]
Step-by-step explanation:
- Factor [tex]10m^{2}+5mp[/tex] :
1.1 Apply exponent rule [tex]a^{b+c}=a^{b}a^{c}[/tex] in this term [tex]m^{2} =m^{1} m^{1}[/tex] so [tex]10m^{2}+5mp =10mm+5mp[/tex]
1.2 Rewrite as [tex]10mm+5mp = 2*5mm+5mp[/tex]
1.3 Factor out common term 5m, [tex]5m(2m+p)[/tex]
2. Factor [tex]-6mn-3mp[/tex] :
2.1 Rewrite as [tex]-2*3mn-3np[/tex]
2.2 Factor out common term -3n, [tex]-3n(2m+p)[/tex]
3. Factor out common term [tex]5m(2m+p)-3n(2m+p)[/tex] which is equal to [tex](p+2m)(5m-3n)[/tex]
