Subtract $- x^{2} + 10 x - 5$ from $5 x - 10$

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Solution

Find the subtraction of $- x^{2} + 10 x - 5$ from $5 x - 10$
$(5 x - 10) - (- x^{2} + 10 x - 5) = 5 x - 10 + x^{2} - 10 x + 5 (A f t e r r e m o v i n g t h e b r a c k e t t h e s i g n o f s e c o n d b r a c k e t c h a n g e) = x^{2} + 5 x - 10 x - 10 + 5 = x^{2} - 5 x - 5$
$∴$ The subtraction of $- x^{2} + 10 x - 5$ from $5 x - 10$ is $x^{2} - 5 x - 5$

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