Question

Solve this question.
xy(a²+1)+a(x²+y²)

Answer 1

xy (a^2 +1) + a(x^2 + y^2)

= xya^2 + xy + ax^2 + ay^2

= xya^2 + ax^2 + ay^2 + xy

= ax (ay + x) + y (ay + x)

= (ay + x) (ax + y)

Answer 2

Answer :

Now,

xy (a² + 1) + a (x² + y²)

= a²xy + xy + ax² + ay²

= a²xy + ax² + xy + ay²

= ax (ay + x) + y (x + ay)

= ax (x + ay) + y (x + ay)

= (x + ay) (ax + y),

which is the required factorization.

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