Question

factorise the following algebraic expression...

Answer 1

{4a^2}^2- {25b^2}^2
By a^2-b^2={a+b}{a-b}
{4a^2- 25b^2}{4a^2+ 25b^2}
{(2a)^2 - (5b)^2}{4a^2 +25b^2}
Again by a^2-b^2={a+b}{a-b}
{2a-5b}{2a+5b}{4a^2+25b^2}

Answer 2

${16a}^{4} - {625b}^{4}$
${(2a)}^{4} - {(5b)}^{4}$
${ ({4a}^{2}) }^{2} - { ({5b)}^{2} }^{2}$
$({(4a )}^{2} + {(5b)}^{2} )( {(4a)}^{2} - {(5b)}^{2} )$