Question

plz solve .factorise x"4+y"4+x²y²

Answer 1

x^4 + y^4 + x^2 y^2

On adding and subtracting x^2 y^2, we get

=> x^4+ y^4 + x^2 y^2 + x^2 y^2 - x^2 y^2

=> (x^2 )^2 + (y^2 )^2 + 2 (x^2) (y^2) - (xy)^2

=> ( x^2 +y^2)^2 - (xy)^2

=> ( x^2 + y^2 - xy) (x^2 + y^2 + xy)

Answer 2

Hey friend, Harish here.

Here is your answer.
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$x^{4}+y^{4}+ x^{2} y^{2}$

Now add x²y² and also subtract x²y²

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

⇒$( x^{2}+ y^{2})^{2} - (xy)^{2}$

Now, Use the identity (a² - b² = (a+b)(a-b))

⇒$( x^{2} + y^{2} +xy) ( x^{2}+ y^{2}-xy)$
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Hope my answer is helpful to u.