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Q.

Simplify: (a3 − 2a2 + 4a − 5) − (−a3 − 8a + 2a2 + 5)

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a

2a3 − 4a2 + 12a − 11

b

2a3 − 4a2 + 12a + 10

c

2a3 4a2 −10

d

2a3 − 4a2 + 12a − 10

answer is A.

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Detailed Solution

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(a3 − 2a2 + 4a − 5) − (−a3 − 8a + 2a2 + 5)

= a3 − 2a2 + 4a − 5 + a3 + 8a − 2a2 − 5

Collecting the like terms together, we get

= a3 + a3 − 2a2 − 2a2 + 4a + 8a − 5 − 5

= 2a3 − 4a2 + 12a − 10

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