Question

please ans this question​

Answer 1

Step-by-step explanation:

$\frac{5 {x}^{2} - 2x + 3 }{ {(x + 2)}^{3} } = \frac{a}{(x + 2)} + \frac{b}{ {(x + 2)}^{2} } + \frac{c}{ {(x + 2)}^{3} } \\ 5 {x}^{2} - 2x + 3 = a{(x + 2)}^{2} + b(x + 2) + c \\ 5 {x}^{2} - 2x + 3 = a {x}^{2} + (4a + b)x + 4a + 2b + c \\ a = 5 \\ 20 + b = - 2 \\ b = - 22 \\ 20 - 44 + c = 3 \\ c = 25$