Question

x²+1/x²-11 factorise it plz​

Answer 1

Answer:

x²+1/x²-11

= 1/-11 = -1/11

Answer 2

Answer:

${x}^{2} + ( { \frac{1}{x} )}^{2} - 11 \\ = {x}^{2} + \frac{1}{ {x}^{2} } - 2 - 9 \\ = {x}^{2} + \frac{1}{ {x}^{2} } - 2 \times x \times \frac{1}{x} - {3}^{2} \: \: \: \: | as \: 2 \times x \times \frac{1}{x} = 2 | \\ = {(x - \frac{1}{x} )}^{2} - {3}^{2} \: \: | \: as \: {x}^{2} + {y}^{2} - 2 \times x \times y = {(x - y)}^{2} | \\ = (x - \frac{1}{x} + 3)(x - \frac{1}{x} - 3) \: \: | \: we \: have \: used \: the \: formula \\ {x}^{2} - {y}^{2} = (x + y)(x - y) |$