# How do you divide #\frac { 6p ^ { 2} + p - 12} { 8p ^ { 2} + 18p + 9} \div \frac { 6p ^ { 2} - 11p + 4} { 2p ^ { 2} + 13p - 7}#?

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Let's begin by factorizing each quadratic trinomial.

now let's combine everything.

the question is,

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