Factor 4x^2(2x^2+5)+9(2x^2+5)

$4 x^{2} (2 x^{2} + 5) + 9 (2 x^{2} + 5)$

Step 1

Factor $2 x^{2} + 5$ out of $4 x^{2} (2 x^{2} + 5)$ .

$(2 x^{2} + 5) (4 x^{2}) + 9 (2 x^{2} + 5)$

Step 2

Factor $2 x^{2} + 5$ out of $9 (2 x^{2} + 5)$ .

$(2 x^{2} + 5) (4 x^{2}) + (2 x^{2} + 5) \cdot 9$

Step 3

Factor $2 x^{2} + 5$ out of $(2 x^{2} + 5) (4 x^{2}) + (2 x^{2} + 5) \cdot 9$ .

$(2 x^{2} + 5) (4 x^{2} + 9)$