Question

Multiply. State any excluded values.

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

Answer 1

The given equation is:


`(q+5)/(-3) * (-3q)/(q+2)`

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


`((q+5)(-3q))/((-3)(q+2)) = (-3 q^(2)-15q )/(-3q-6)`

Then you factor out the equations:


`(-3 q^(2)-15q )/(-3q-6) = (-3q(q+5))/(-3(q+2))`

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


`(q(q+5))/((q+2))`