Respuesta :

Answer:

[tex]10[2k+5][/tex]

Step-by-step explanation:

we have

[tex]20k+50[/tex]

Decompose each number in prime factors

we know that

[tex]20=(2^{2})(5)[/tex]

[tex]50=(2)(5^{2})[/tex]

substitute

[tex](2^{2})(5)k+(2)(5^{2})[/tex]

Factor (2)(5)

[tex](2)(5)[(2)k+(5)]\\10[2k+5][/tex]