Question

(X^2+y^2)^2 polynomial identify. Simplify

Answer 1

Answer:

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

Step-by-step explanation:

(X^2+y^2)^2 polynomial identify. Simplify

i.e

$(x^{2}+ y^{2})^{2} = ?$

Solution:

We have the identity,

$(A+B)^{2}=A^{2}+2AB+B^{2}$

In the Question

$A=x^{2}$

$B=y^{2}$

Substituting in the identity we get

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

Also we have

$(x^{a})^{b} =x^{a\times b}$

$(x^{2}+ y^{2})^{2} =x^{4}+2x^{2}y^{2}+y^{4}$  Which is the required