Question

please give me Answer​

Answer 1

Answer:

x4-y4

(x2)2-(y2)2

(x2-y2)(x2+y2)

(x-y)(x+y)(x2+y2)

Answer 2

$\sf{x^2+y^2\:,x+y\:and\:x-y}$

Step-by-step explanation:

${\underline{\underline{\pmb{\sf{Given:}}}}}$

$\implies\bf{x^4-y^4}$

${\underline{\underline{\pmb{\sf{We\:need\:to:}}}}}$

• Find the factors.

${\underline{\underline{\pmb{\sf{Solution:}}}}}$

$\implies\sf{x^4-y^4}$

We can write this as:

$\implies\sf{(x^2)^{2}-(y^2)^{2}}$

Now, we are going to use an algebraic identity:

$\boxed{\pink{\maltese\:\tt{a^2-b^2 = (a+b)(a-b)}}}$

Let's use the identity:

$\implies\sf{(x^2)^{2}-(y^2)^{2}}$

$\implies\sf{(x^2+y^2)(x^2-y^2)}$

$\implies\sf{(x^2+y^2)(x+y)(x-y)}$

Hence, the factors for $\bf{x^4-y^4}$ are:

$\implies\sf{x^2+y^2\:,x+y\:and\:x-y}$

Option D is your correct answer!