Question

(y+1/y)^2-5(y+1/y)+4​

Answer 1

Answer:

${y}^{2} - 5y - \frac{5}{y} + \frac{1}{ {y}^{2} } + 6 \:$

Step-by-step explanation:

$= > {(y + \frac{1}{y} )}^{2} - 5(y + \frac{1}{y} ) + 4 \\ \\ = > {y}^{2} + 2(y)( \frac{1}{y} ) + \frac{1}{ {y}^{2} } - 5y - \frac{5}{y} + 4 \\ \\ = > {y}^{2} + 2(1) + \frac{1}{ {y}^{2} } - 5y - \frac{5}{y} + 4 \\ \\ = > {y}^{2} - 5y - \frac{5}{y} + \frac{1}{ {y}^{2} } + 2 + 4 \\ \\ = > {y}^{2} - 5y - \frac{5}{y} + \frac{1}{ {y}^{2} } + 6$