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Simplify (2 − + 1) + 5 and find its value for a = -2.
Question
Simplify (2 − + 1) + 5 and find its value for a = -2.
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Mathematics
3 years
2021-08-24T05:41:53+00:00
2021-08-24T05:41:53+00:00 1 Answers
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Answer:
Part A
a·(a² – a + 1) + 5·a = a³ – a² + 6·a
Part B
The value of a·(a² – a + 1) + 5·a, for a = -2 is -24
Step-by-step explanation:
Part A
The given function is a·(a² – a + 1) + 5·a
The function is simplified by expanding the product of sums into sums of products, as follows;
a·(a² – a + 1) + 5·a = a × a² – a × a + a × 1 + 5·a = a³ – a² + a + 5·a = a³ – a² + 6·a
The function, a·(a² – a + 1) + 5·a, in simplified format is therefore;
a·(a² – a + 1) + 5·a = a³ – a² + 6·a
Part B
When a = -2, we get;
(a³ – a² + 6·a) = (-2)³ – (-2)² + 6·(-2) = -8 – 4 – 12 = -24