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Aliun [14]
3 years ago
6

(6+5/x)²pls help me​

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

Answer:

36 + \frac{60}{x} + \frac{25}{x^2}

Step-by-step explanation:

(6 + \frac{5}{x} )²

= (6 + \frac{5}{x} )(6 + \frac{5}{x} )

Each term in the second factor is multiplied by each term in the first factor, that is

6(6 + \frac{5}{x} ) + \frac{5}{x} (6 + \frac{5}{x} ) ← distribute parenthesis

= 36 + \frac{30}{x} + \frac{30}{x} + \frac{25}{x^2} ← collect like terms

= 36 + \frac{60}{x} + \frac{25}{x^2}

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Another way of writing the output of an inverse function is with f(x)⁻¹.

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