Question

answer the following question​

Answer 1

Step-by-step explanation:

Solution :

$\: \: \: \: \: \: x ^{4} - {y}^{4}$

$= > (x - y)^{4}$

$= > ( {x}^{2} - {y}^{2} )( {x}^{2} + {y}^{2} )$

Hence :

• Option (a) is correct.

Answer 2

Answer:

a) $x ^ {4} - y ^ {4} = (x^{2} + y^{2})(x^{2} - y^{2})$

Step-by-step explanation:

We know that $a^{2} - b^{2} = (a + b)(a - b)$

∴ $x^{4} - y^{4}$

⇒ $(x^{2})^{2} - (y^{2})^{2}$

⇒ $(x^{2} + y^{2})(x^{2} - y^{2})$