Question

() Simplify using suitable identity. [a - 1/a?][a+ 1/a] a^2+1/a^2][a^4+1/a^4]

simplify​

Answer 1

Answer:

a⁸-1/a⁸

Step-by-step explanation:

using formula:-

• (a+b)(a-b)=a²-b²

Answer 2

Step-by-step explanation:

$( {a} - \frac{1}{ {a} } )(a + \frac{1}{a} )( {a}^{2} + \frac{1}{ {a}^{2} } )( {a}^{4} + \frac{1}{ {a}^{4} } ) \\ \\ \\ = ( {a}^{2} - \frac{1}{{a}^{2} } )( {a}^{2} + \frac{1}{ {a}^{2} } )( {a}^{4} + \frac{1}{ {a}^{4} } ) \\ \\ \\ = ({a}^{4} - \frac{1}{ {a}^{4} } )( {a}^{4} + \frac{1}{ {a}^{4} } ) \\ \\ \\ = ( {a}^{8} - \frac{1}{ {a}^{8} } ) \\ \\ \\ \\ \\ \\ \\ formula \: \: \: \: \: - \: \: \: (x + y)(x - y) = ( {x}^{2} - y ^{2} ) \\ \\ \\ x ^{m} .x ^{n} = {x}^{m + n}$