flex (one's) muscles

Translations
показать (свои) мускулы
The company is flexing its muscles in the market by launching a new product.
Компания показывает свои мускулы на рынке, выпуская новый продукт.
Definitions
To show off one's strength, power, or capabilities, often in a boastful or competitive manner.
Words
muscle

noun
мышца
flex

verb
сгибать