Help Me with my homework, please

Answer:
[tex]a. \: \: 10x(x + 5)[/tex]
Step-by-step explanation:
[tex]10x ^{2} + 50x \\ factor \: out \: 10 \\ \\ 10(x^{2} + 5x) \\ consider \: x^{2} + 5x \\ factor \: out \: x \\ \\ x(x + 5) \\ rewrite \: the \: complete \: factored \\ expression \\ \\ 10x( x + 5)[/tex]