MCQ
Simplify: $(a^3 - 2a^2+ 4a - 5) - (-a^3 - 8a + 2a^2 + 5)$
- A$2a^3 + 7a^2 + 6a - 10$
- B$2a^3 + 7a^2 + 12a - 10$
- ✓$2a^3 - 4a^2 + 12a - 10$
- D$2a^3 - 4a^2 + 6a - 10$
✓
Answer
Correct option: C.
$2a^3 - 4a^2 + 12a - 10$
Given expression is $(a^3- 2a^2 + 4a - 5) - (-a^3 - 8a + 2a^2 + 5)$
$= a^3 - 2a^2 + 4a - 5 + a^3 + 8a - 2a^2 - 5$
$= 2a^3- 4a^2 + 12a - 10$
simplified form of the given expression is $= 2a^3 - 4a^2 + 12a -10$
$= a^3 - 2a^2 + 4a - 5 + a^3 + 8a - 2a^2 - 5$
$= 2a^3- 4a^2 + 12a - 10$
simplified form of the given expression is $= 2a^3 - 4a^2 + 12a -10$
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