Question 58 (i)

Subtract:

$4.5 x^{5} - 3.4 x^{2} + 5.7$ from $5 x^{4} - 3.2 x^{2} - 7.3 x .$

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Solution

We have,
$5 x^{4} - 3.2 x^{2} - 7.3 x - (4.5 x^{5} - 3.4 x^{2} + 5.7)$
$= 5 x^{4} - 3.2 x^{2} - 7.3 x - 4.5 x^{5} + 3.4 x^{2} - 5.7$
On combining the like terms,
$= - 4.5 x^{5} + 5 x^{4} - 3.2 x^{2} + 3.4 x^{2} - 7.3 x - 5.7 = - 4.5 x^{5} + 5 x^{4} + 0.2 x^{2} - 7.3 x - 5.7$

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