Answer:
36 + [tex]\frac{60}{x}[/tex] + [tex]\frac{25}{x^2}[/tex]
Step-by-step explanation:
(6 + [tex]\frac{5}{x}[/tex] )²
= (6 + [tex]\frac{5}{x}[/tex] )(6 + [tex]\frac{5}{x}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
6(6 + [tex]\frac{5}{x}[/tex] ) + [tex]\frac{5}{x}[/tex] (6 + [tex]\frac{5}{x}[/tex] ) ← distribute parenthesis
= 36 + [tex]\frac{30}{x}[/tex] + [tex]\frac{30}{x}[/tex] + [tex]\frac{25}{x^2}[/tex] ← collect like terms
= 36 + [tex]\frac{60}{x}[/tex] + [tex]\frac{25}{x^2}[/tex]
