Question

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

Answer 1

`(x^(2)+ y^(2))^(2) =x^(4)+2x^(2)y^(2)+y^(4)`

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* b)`

`(x^(2)+ y^(2))^(2) =x^(4)+2x^(2)y^(2)+y^(4)` Which is the required