moonlightbear
moonlightbear moonlightbear
  • 25-03-2018
  • Mathematics
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Shannon says the two expressions below are equivalent. Is she correct? Explain why or why not?


2(3a-2) + 4a and 10a-2

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MarkV
MarkV MarkV
  • 25-03-2018
Hi there! Shannon is incorrect.

To find out whether she is correct, we must get rid of the parentheses.
2 (3a - 2) + 4a =
2 × 3a - 2 × 2 + 4a =
6a - 4 + 4a =
10a - 4

Shannon says 2(3a-2) + 4a and 10a-2 are equivalent, but when we work out the parentheses we can see a different outcome. Therefore, Shannon is incorrect.
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