Question

simplify (x^2-y^2)^2+4x^2 y^2

Answer 1

X^4+y^4-2x^2y^2+4x^2y^2
=x^4+y^4+2x^2y^2
=(x^2+y^2)^2

Answer 2

Hello Friend ✌
Here is u r Ans ➡

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

$= using \: > \: (a - b) {}^{2} = a {}^{2} - 2ab + b {}^{2}$

$= x {}^{4} - 2x {}^{2} y {}^{2} + y {}^{4} + 4x {}^{2} y {}^{2}$

$= collect \: like \: terms \:$

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

$= using \: > \: a {}^{2} + 2b + b {}^{2} = (a + b) {}^{2}$

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

Hope This Helps u ☺.