Subtract the sum of $5 n^{2} - 3 n - 2$ $5n^2 -3n -2$ and $- 7 n^{2} + n + 2$ $-7n^2 +n+2$ from $12 n^{2} - n + 9$ $12n^2 -n +9$ ?

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Answer 1 · 2018-04-21T02:08:51

$\Rightarrow - 14 n^{2} - n - 9 or - (14 n^{2} + n + 9)$ $color(brown)(=> -14n^2 -n - 9 " or " color(green)(-(14n^2 + n + 9)$

$5 n^{2} - 3 n - 2 + (- 7 n^{2} + n + 2), Adding first two terms$ $5n^2 - 3n - 2 + (-7n^2 + n + 2), " Adding first two terms"$

$\Rightarrow 5 n^{2} - 3 n - 2 - 7 n^{2} + n + 2, removing bracket$ $=>5n^2 - 3n - 2 - 7n^2 + n + 2, " removing bracket"$

$=>5n^2 - 7n^2 - 3n + n - cancel 2 + cancel 2, " rearranging like terms together"$

$=>-2n^2 -2n$

$-2n^2 - 2n - (12n^2 -n + 9, " subtracting the tnird term from the result"$

$=> - 2n^2 - 2n - 12n^2 + n - 9, " removing bracket"$

$=> -2n^2 - 12n^2 - 2n + n - 9, " rearranging terms"$

$color(brown)(=> -14n^2 -n - 9$

Subtract the sum of 5n^2 -3n -25n2−3n−25n^2 -3n -2 and -7n^2 +n+2−7n2+n+2-7n^2 +n+2 from 12n^2 -n +912n2−n+912n^2 -n +9 ?