Factor by Grouping 2mx^4+3nx^4+10m+15n

$2 m x^{4} + 3 n x^{4} + 10 m + 15 n$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 m x^{4} + 3 n x^{4}) + 10 m + 15 n$

Factor out the greatest common factor (GCF) from each group.

$x^{4} (2 m + 3 n) + 5 (2 m + 3 n)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 m + 3 n$ .

$(2 m + 3 n) (x^{4} + 5)$