Respuesta :

Answer: [tex]\left(2v+5\right)\left(u+4\right)[/tex]

Step-by-step explanation:

Favtor the terms:

2uv+5u

[tex]u\left(2v+5\right)[/tex]

8v+20

[tex]4\left(2v+5\right)[/tex]

Add the factored terms and factor out the common term 2v+5:

[tex]u\left(2v+5\right)+4\left(2v+5\right)[/tex]

[tex]\left(2v+5\right)\left(u+4\right)[/tex]

Answer:

(2v + 5)(u + 4)

Step-by-step explanation:

2uv + 5u + 8v + 20 ( factor first/second and third/fourth terms )

= u(2v + 5) + 4(2v + 5) ← factor out (2v + 5) from each term

= (2v + 5)(u + 4)