Question

PLZZ HELPP ASAP MATH QUESTION SIMPLIFY COMPLEX FRACTION

Answer 1

`\large\boxed{(x^3+6x)/(80x+64)}`

Explanation:

`((1)/(8)+(x+4)/(16))/((x+4)/(x^2)+(4)/(x))=\left((1\cdot2)/(8\cdot2)+(x+4)/(16)\right):\left((x+4)/(x^2)+(4\cdot x)/(x\cdot x)\right)\\\\=\left((2)/(16)+(x+4)/(16)\right):\left((x+4)/(x^2)+(4x)/(x^2)\right)=(2+x+4)/(16):(x+4+4x)/(x^2)\\\\=(x+6)/(16):(5x+4)/(x^2)=(x+6)/(16)\cdot(x^2)/(5x+4)=((x+6)(x^2))/((16)(5x+4))\\\\\text{use distributive property}\ a(b+c)=ab+ac`

`=((x)(x^2)+(6)(x))/((16)(5x)+(16)(4))=(x^3+6x)/(80x+64)`