rewrite the expression by factoring out (v+5)

5v^2(v+5)+3(v+5)

2u^2 (u+5)+5 (u+5)

(5v^2)(v+5)+(3)(v+5)

(5v^2+3)(v+5)

5v^3+25v^2+3v+15

To rewrite the expression by factoring out (v+5), we can consider (v+5) as a common factor and apply the distributive property.

First, let's factor out (v+5) from both terms:

5v^2(v+5) + 3(v+5)

= (v+5)(5v^2) + (v+5)(3)

Now, we can distribute (v+5) to each term inside the parentheses:

= 5v^2(v) + 5v^2(5) + 3(v) + 3(5)

Simplifying each term:

= 5v^3 + 25v^2 + 3v + 15

Therefore, the expression after factoring out (v+5) is:

5v^3 + 25v^2 + 3v + 15