Solve it:-
$(x + y) (2 x + 3 y) - (x + y) (x + 1) = ?$

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Solution

Consider the following question.

$(x + y) (2 x + 3 y) - (x + y) (x + 1) = ?$

$= (x) (2 x) + (x) (3 y) + (y) (2 x) + (y) (3 y) - x^{2} - x y - x - y$

$= 2 x^{2} + 3 x y + 2 x y + 3 y^{2} - x^{2} - x y - x - y$

$= x^{2} + 4 x y + 3 y^{2} - x - y$

Hence, this is the required answer.

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