x^4+2x^2.y^2+y^4.......plz help
Try dividing by
(x^2 + 2 y^2)
sorry
(x^2 + y^2)
wil it work
To simplify the expression x^4 + 2x^2y^2 + y^4, we can use the formula for the sum of cubes:
a^3 + b^3 = (a + b)(a^2 - ab + b^2).
In this case, we can rewrite the expression as:
x^4 + y^4 + (x^2y^2 + x^2y^2).
Now let's focus on the term (x^2y^2 + x^2y^2). We can factor out a common term of x^2y^2:
x^2y^2 + x^2y^2 = x^2y^2(1 + 1).
Simplifying further, we have:
x^2y^2(2).
Now we can rewrite the expression as:
x^4 + y^4 + 2x^2y^2.
And that's the simplified form of the given expression.