$\frac{ \left( p-6 \right) \times \left( p+6 \right) }{ 3p-4 } \times \frac{ 3{p}^{2}+11p-20 }{ {p}^{2}+11p+30 }$
Write $11p$ as a difference$\frac{ \left( p-6 \right) \times \left( p+6 \right) }{ 3p-4 } \times \frac{ 3{p}^{2}+15p-4p-20 }{ {p}^{2}+11p+30 }$
Write $11p$ as a sum$\frac{ \left( p-6 \right) \times \left( p+6 \right) }{ 3p-4 } \times \frac{ 3{p}^{2}+15p-4p-20 }{ {p}^{2}+6p+5p+30 }$
Factor out $3p$ from the expression$\frac{ \left( p-6 \right) \times \left( p+6 \right) }{ 3p-4 } \times \frac{ 3p \times \left( p+5 \right)-4p-20 }{ {p}^{2}+6p+5p+30 }$
Factor out $-4$ from the expression$\frac{ \left( p-6 \right) \times \left( p+6 \right) }{ 3p-4 } \times \frac{ 3p \times \left( p+5 \right)-4\left( p+5 \right) }{ {p}^{2}+6p+5p+30 }$
Factor out $p$ from the expression$\frac{ \left( p-6 \right) \times \left( p+6 \right) }{ 3p-4 } \times \frac{ 3p \times \left( p+5 \right)-4\left( p+5 \right) }{ p \times \left( p+6 \right)+5p+30 }$
Factor out $5$ from the expression$\frac{ \left( p-6 \right) \times \left( p+6 \right) }{ 3p-4 } \times \frac{ 3p \times \left( p+5 \right)-4\left( p+5 \right) }{ p \times \left( p+6 \right)+5\left( p+6 \right) }$
Factor out $p+5$ from the expression$\frac{ \left( p-6 \right) \times \left( p+6 \right) }{ 3p-4 } \times \frac{ \left( p+5 \right) \times \left( 3p-4 \right) }{ p \times \left( p+6 \right)+5\left( p+6 \right) }$
Factor out $p+6$ from the expression$\frac{ \left( p-6 \right) \times \left( p+6 \right) }{ 3p-4 } \times \frac{ \left( p+5 \right) \times \left( 3p-4 \right) }{ \left( p+6 \right) \times \left( p+5 \right) }$
Cancel out the common factor $p+6$$\frac{ p-6 }{ 3p-4 } \times \frac{ \left( p+5 \right) \times \left( 3p-4 \right) }{ p+5 }$
Cancel out the common factor $p+5$$\frac{ p-6 }{ 3p-4 } \times \left( 3p-4 \right)$
Cancel out the common factor $3p-4$$p-6$