Question

a⁴-b⁴ with identity​

Answer 1

Step-by-step explanation:

$( {a}^{4} - {b}^{4} ) \\ = { ({a}^{2} - {b}^{2} })^{2} \\ identity({x - y})^{2} = {x}^{2} - 2xy + {y}^{2} \\ {( {a}^{2} - {b}^{2}) }^{2} = { ({a}^{2}) }^{2} - 2( {a}^{2} )( {b}^{2}) + { ({b}^{2}) }^{2} \\ (since \: { ({a}^{m} )}^{n} = {a}^{mn} \\ = {a}^{4} - 2 {a}^{2} {b}^{2} + {b}^{4} \\ therefore \: ( {a }^{4} - {b}^{4} ) = {a}^{4} - 2 {a}^{2} {b}^{2} + {b}^{4}$