Question

HEY PLEASE HELP ASAP

Answer 1

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Let's simplify ~

`\qquad \sf  \dashrightarrow \: \cfrac{5}{y - 1} + \cfrac{3}{y - 8}`

`\qquad \sf  \dashrightarrow \: \cfrac{5(y - 8) + 3(y - 1)}{(y - 1)(y - 8)}`

`\qquad \sf  \dashrightarrow \: \cfrac{5y -40 + 3y - 3}{y {}^(2) - y - 8y + 8}`

`\qquad \sf  \dashrightarrow \: \cfrac{8y -43}{y {}^(2) - 9y + 8}`

Answer 2

`(8y-43)/((y-1)(y-8))`

Step-by-step explanation:

`\rightarrow (5)/(y-1) +(3)/(y-8)`

make the denominators similar

`\rightarrow (5(y-8))/((y-1)(y-8)) +(3(y-1))/((y-8)(y-1))`

Join both the fraction

`\rightarrow (5(y-8)+3(y-1))/((y-1)(y-8))`

simplify the expression

`\rightarrow (5y-40+3y-3)/((y-1)(y-8))`

`\rightarrow (8y-43)/((y-1)(y-8))`