Subtract $(5 x^{2} - 5 x - 7)$ from the sum of $(x^{2} - 3), (5 - 4 x)$ and $(9 + 4 x^{2})$

x + 18

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x^{2} + x + 10

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- x + 24

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- 9 x + 18

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Solution

The correct option is A $x + 18$
The sum of $(x^{2} - 3), (5 - 4 x)$ and $(9 + 4 x^{2})$
$\Rightarrow (x^{2} - 3) + (5 - 4 x) + (9 + 4 x^{2})$
$= x^{2} + 4 x^{2} - 4 x + 5 + 9 - 3$
$= 5 x^{2} - 4 x + 11$
Now, subtract $(5 x^{2} - 5 x - 7)$ from $5 x^{2} - 4 x + 11$ , we get
$(5 x^{2} - 4 x + 11) - (5 x^{2} - 5 x - 7) = 5 x^{2} - 4 x + 11 - 5 x^{2} + 5 x + 7$
$= x + 18$

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