Subtract $- x^{2} + 10 x - 5 f r o m 5 x - 10$

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Solution

Given algebraic expressions are $- x^{2} + 10 x - 5$ and $5 x - 10$ .
To find out: The result when we subtract $- x^{2} + 10 x - 5$ from $5 x - 10$

Hence, the difference will be:
$(5 x - 10) - (- x^{2} + 10 x - 5)$
$\Rightarrow 5 x - 10 + x^{2} - 10 x + 5$
$\Rightarrow x^{2} + 5 x - 10 x - 10 + 5$
Subtracting the like terms, we get:
$\Rightarrow x^{2} - 5 x - 5$

Hence, the result on subtracting $- x^{2} + 10 x - 5$ from $5 x - 10$ is $x^{2} - 5 x - 5$ .

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