Q.1 Add
t - t² - 14, 15t³ + 13 + 9t - 8t², 12t² - 19 - 24t and 4t - 9t² + 19t³.
If t= -1 find the value of the expression.
Answers
Answered by
4
Solution:--
Here while adding the algebraic expressions we need to know that we can only add the like terms.
Like terms are those terms which have the same algebraic factors.
Sum:
= (t - t² - 14) + (15t³ + 13 + 9t - 8t²) + (12t² - 19 - 24t) + (4t - 9t² + 19t³)
= t - t² - 14 + 15t³ + 13 + 9t - 8t² + 12t² - 19 - 24t + 4t - 9t² + 19t³
= (t - 9t - 24t + 4t) + (-t² - 8t² + 12t² - 9t²) + (-14 + 13 - 19) + (15t³ + 19t³)
= -10t - 6t² - 20 + 34t³
Hence, the required expression is -10t - 6t² - 20 + 34t³.
Given,
t= -1
On substituting the values we get:
-10t - 6t² - 20 + 34t³
= -10 × (-1) - 6 × (-1)² - 20 + 34 × (-1)³
= 10 - 6 - 20 - 34
= -50
Hope it helps.....
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3
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