divide rational expressions (p^2-p-2)/(2p^2+3p+1)÷(p^2-3p+2)/(p^2+10p-11)

Question

PLEASE SHOW WORK BY TYPING IT OUT

Answer 1

invert the divisor

factor, cancel common factors

leaving

(p+11)/(2p+1)

also indicate p can't = anything that makes a denominator = 0

not just in the simplified fraction, but in the original more complicated fraction

p can't = -1/2, -11, -1, or 1

Answer 2

[(p-2)(p+1) / ((2p+1)(p+1))] [(p+11)(p-1) / ((p-2)(p-1))]

= (2p+1)(p+11) = 2p² + 23p + 11