sy8dnigimondr1achock sy8dnigimondr1achock
  • 25-11-2016
  • Mathematics
contestada

Multiply. State any excluded values.

q+5/-3 * -3q/q+2

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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 25-11-2016
The given equation is:

[tex] \frac{q+5}{-3} * \frac{-3q}{q+2} [/tex]

Just multiply both numerators and both denominators respectively, with the bar line still between them. So, it becomes

[tex] \frac{(q+5)(-3q)}{(-3)(q+2)} = \frac{-3 q^{2}-15q }{-3q-6} [/tex]

Then you factor out the equations:

[tex]\frac{-3 q^{2}-15q }{-3q-6} = \frac{-3q(q+5)}{-3(q+2)} [/tex]

Simplify terms by dividing them. The negative sign and 3 cancels out. The answer would be:

[tex]\frac{q(q+5)}{(q+2)} [/tex]

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