Find the difference between the values of $5 m^{3} - 4 m$ and $2 m^{2} + 9$ , when $m = - 2$ .

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-49

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none of these

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Solution

The correct options are
A 49
B -49
$5 m^{3} - 4 m = 5 (- 2)^{3} - 4 (- 2)$

$= 5 \times (- 8) + 8$

$= - 40 + 8 = - 32$

$2 m^{2} + 9 = 2 (- 2)^{2} + 9$

$= 2 \times 4 + 9 = 8 + 9 = 17$

$∴ d i f f e r e n c e = - 32 - 17 = - 49$
or
$17 - (- 32) = 49$

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