DottyU220968 DottyU220968
  • 26-10-2022
  • Mathematics
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Rational Expressions and EquationsFind the LCM of each pair of expressions. Leave polynomials in factored form.

Rational Expressions and EquationsFind the LCM of each pair of expressions Leave polynomials in factored form class=

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AjaxZ30003 AjaxZ30003
  • 26-10-2022

We have two expressions: 4a + 16 and 6a + 24

Both terms have a even coefficient, then they must have a common factor 2:

2(2a + 8) and 2(3a + 12)

Now we can check that (2a + 8) and (3a + 12) don't have common factors

The least common multiple must be composed by all the major factors of both expressions. Then, the least common multiple of (4a + 16) and (6a + 24) must be given by:

2*(2a + 8)*(3a + 12) = 12a² + 96a + 192

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