Question

Divide and state any restrictions on the variables. (k+2)/(k-6)÷(k+3)/(k^2-k-30)

Answer 1

\[(k+2)/(k-6)\div(k+3)/(k^2-k-30)\]factor denominator of left term, take reciprocal and multiply\[(k+2)/(k-6)\times((k-6)(k+5))/(k+3)\]cancel factor of (k-6) in numerator and denominator\[((k+2)(k+5))/(k+3)\]\[k \neq6\]

Answer 2

k cannot equal -3