If $3 x^{2} y + 8 x y + 6 x y^{2}$ is subtracted from $7 x^{2} y + 9 x y + 8 x y^{2}$ , find the coefficient of $x^{2} y$

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Solution

We need to subtract $3 x^{2} y + 8 x y + 6 x y^{2}$ from $7 x^{2} y + 9 x y + 8 x y^{2}$ .

$H o r i z o n t a l M e t h o d : - --------------------- -$
$(7 x^{2} y + 9 x y + 8 x y^{2}) - (3 x^{2} y + 8 x y + 6 x y^{2})$
combining the like terms
$= (7 x^{2} y - 3 x^{2} y) + (9 x y - 8 x y) + (8 x y^{2} - 6 x y^{2})$
$= 4 x^{2} y + x y + 2 x y^{2}$
$= (4) x^{2} y + x y + 2 x y^{2}$

The coefficient of $x^{2} y$ when we subtract $3 x^{2} y + 8 x y + 6 x y^{2}$ from $7 x^{2} y + 9 x y + 8 x y^{2}$ is $4$ .

$C o l u m n M e t h o d : - ------------------ -$

The coefficient of $x^{2} y$ when we subtract $3 x^{2} y + 8 x y + 6 x y^{2}$ from $7 x^{2} y + 9 x y + 8 x y^{2}$ is $4$ .

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