Question

Factorise a⁴-1/625
Please solve​

Answer 1

Answer:

$\rarr \: {a}^{4} - \frac{1}{625} \\ \\ \rarr \: {( {a}^{2} )}^{2} - { \bigg \{ \bigg( \frac{1}{5} \bigg) {}^{2} \bigg \}}^{2} \\ \\ \rarr \bigg( {a}^{2} + \frac{1}{25} \bigg) \bigg \{ {a}^{2} - { \bigg( \frac {1}{5} \bigg)}^{2} \bigg \} \\ \\ \rarr \pink{ \tt \bigg( {a}^{2} + \frac{1}{25} \bigg) \bigg(a + \frac{1}{5} \bigg) \bigg(a - \frac{1}{5} \bigg)}$