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Addition and Subtraction of Algebraic Expression

Subtract 3x...

Question

Subtract $3 x y + 2 z^{2}$ from $5 x y + 3 z^{2} - x z$

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Solution

We have,
$(5 x y + 3 z^{2} - x z) -$ $(3 x y + 2 z^{2})$

$= 5 x y + 3 z^{2} - x z - 3 x y - 2 z^{2}$

$= (5 x y - 5 x y) + (3 z^{2} - 2 z^{2}) - x z$

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

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