Question

somebody explain me this formula step by step​

Answer 1

Step-by-step explanation:

$formula \: {a}^{2} - {b}^{2} = (a + b)(a - b) \\ { ({4}^{4} )}^{2} - {25}^{2} = ( {4}^{4} + 25)({4}^{4} - 25) \\ = ( {4}^{4} + 25)( { {(4}^{2} )}^{2} - {5}^{2} ) \\ = ( {4}^{4} + 25)( {4}^{2} + 5)( {4}^{2} - 5) \\ = ( {4}^{4} + 25)( {4}^{2} + 5)( {4}^{2} - { (\sqrt{5} )}^{2} ) \\ = ( {4}^{4} + 25)( {4}^{2} + 5)( 4 + \sqrt{5} )(4 - \sqrt{5} )$