Subtract :
$4 x^{2} - 5 x + 9$ from $7 x^{2} + x - 3$

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Solution

We have, $7 x^{2} + x - 3 - [4 x^{2} - 5 x + 9]$
$= 7 x^{2} + x - 3 - 4 x^{2} + 5 x - 9$
$= 7 x^{2} - 4 x^{2} + x + 5 x - 3 - 9$
$= 3 x^{2} + 6 x - 12$

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What must be subtracted from $x^{3} - 3 x^{2} + 5 x - 1$ to get $2 x^{3} + x^{2} - 4 x + 2$ ?

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