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

Answer:

$\dfrac{8y-43}{(y-1)(y-8)}$

Explanation:

$\rightarrow \dfrac{5}{y-1} +\dfrac{3}{y-8}$

make the denominators similar

$\rightarrow \dfrac{5(y-8)}{(y-1)(y-8)} +\dfrac{3(y-1)}{(y-8)(y-1)}$

Join both the fraction

$\rightarrow \dfrac{5(y-8)+3(y-1)}{(y-1)(y-8)}$

simplify the expression

$\rightarrow \dfrac{5y-40+3y-3}{(y-1)(y-8)}$

$\rightarrow \dfrac{8y-43}{(y-1)(y-8)}$