(x2+2x4-24y2)/(x2+5)÷(x2+6xy)

Question

divide the problem

Answer 1

(x²+2x⁴-24y²)/(x²+5)➗(x²+6xy)=

(2x⁴+x²-24y²)/(x²+5)➗(x²+6xy)=[2x²-9+(45-24y²)/(x²+5)]/(x²+6xy)=

(2x²-9)/(x²+6xy)+(45-24y²)/[(x²+5)(x²+6xy)]=

2-(9+12xy)/(x²+6xy)+(45-24y²)/(x⁴+6x³y+5x²+30xy)=

2-3(3+4xy)/(x²+6xy)+3(15-8y²)/(x⁴+6x³y+5x²+30xy).