$\frac{ 2{x}^{2}+7x-15 }{ x+5 }$
Write $7x$ as a difference$\frac{ 2{x}^{2}+10x-3x-15 }{ x+5 }$
Factor out $2x$ from the expression$\frac{ 2x \times \left( x+5 \right)-3x-15 }{ x+5 }$
Factor out $-3$ from the expression$\frac{ 2x \times \left( x+5 \right)-3\left( x+5 \right) }{ x+5 }$
Factor out $x+5$ from the expression$\frac{ \left( x+5 \right) \times \left( 2x-3 \right) }{ x+5 }$
Cancel out the common factor $x+5$$2x-3$