Question

Multiply. State any excluded values. q+5/-3 * -3q/q+2

Answer 1

The given equation is:

$\frac{q+5}{-3} * \frac{-3q}{q+2}$

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

$\frac{(q+5)(-3q)}{(-3)(q+2)} = \frac{-3 q^{2}-15q }{-3q-6}$

Then you factor out the equations:

$\frac{-3 q^{2}-15q }{-3q-6} = \frac{-3q(q+5)}{-3(q+2)}$

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

$\frac{q(q+5)}{(q+2)}$