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Question
Add the following expressions:
t – t2 – t3 – 14; 15t3 + 13 + 9t – 8t2; 12t2 – 19 – 24t and 4t – 9t2 + 19t3
Solution
We have, (t – t2 – t3 – 14) + (15t3 + 13 + 9t – 8t2) + (12t2 – 19 – 24t) + (4t – 9t2 + 19t3)
= t – t2 – t3 – 14 + 15t3 + 13 + 9t – 8t2 + 12t2 – 19 – 24t + 4t – 9t2 + 19t3
On combining the like terms,
= t + 9t – 24t + 4t – t2 – 8t2 + 12t2 – 9t2 – t3 + 15t3 + 19t3 – 14 + 13 – 19
= –10t – 6t2 + 33t3 – 20
= 33t3 – 6t2 – 10t – 20
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