Question

Q6. Factorize:- a^4 – 5^4 *
O (a-s)(a+s)(a +s2)
O (a+s)(s2-a2)
O (a2-s2)(a+s)
None of these.

Answer 1

$Given \: a^{4} - s^{4}$

$= (a^{2})^{2} - (s^{2})^{2}$

$= (a^{2} + s^{2}) (a^{2} - s^{2})$

/* By algebraic identity */

$\boxed{ \pink{ x^{2} - y^{2} = ( x + y )( x - y ) }}$

$= (a^{2} + s^{2}) (a + s)( a - s )$

Therefore.,

$\red{ Factors \: of \: a^{4} - s^{4}}$

$\green { = (a^{2} + s^{2}) (a + s)( a - s )}$

•••♪