If A = $10 w^{3} + 20 w^{2} - 55 w + 60$ ,
B = $- 25 w^{2} + 15 w - 10$ and
C = $5 w^{2} - 10 w + 20$ ,
then A + B - C is equal to ______.

10 w^{3} + 10 w^{2} + 30 w + 30

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10 w^{3} + 10 w^{2} - 30 w + 30

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10 w^{3} - 10 w^{2} - 30 w + 30

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None of these

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Solution

The correct option is C $10 w^{3} - 10 w^{2} - 30 w + 30$
So, $A + B - C = (10 W^{3} + 20 W^{2} - 55 W + 60) + (- 25 W^{2} + 15 W - 10) - (5 W^{2} - 10 W + 20)$
Note- Polynomials with same order will be operated with each other.
So, $A + B - C = 10 W^{3} + (20 W^{2} - 25 W^{2} - 5 W^{2}) + (- 55 W + 15 W + 10 W) + (60 - 10 - 20)$
So, $A + B - C = 10 W^{3} - 10 W^{2} - 30 W + 30$

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