Simplify (a^2+b^2)(x^2+y^2)

$(a^{2} + b^{2}) (x^{2} + y^{2})$

Step 1

Apply the distributive property.

$a^{2} (x^{2} + y^{2}) + b^{2} (x^{2} + y^{2})$

Step 2

Apply the distributive property.

$a^{2} x^{2} + a^{2} y^{2} + b^{2} (x^{2} + y^{2})$

Step 3

Apply the distributive property.

$a^{2} x^{2} + a^{2} y^{2} + b^{2} x^{2} + b^{2} y^{2}$