Question

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

Answer 1

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

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step 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 $(p+2m)(5m-3n)$