Question

Please can i have help answering the question in the picture

Answer 1

The answer is gonna be x+3/x-2

Answer 2

Hey there!

Answer: $\Rightarrow \sf{\frac{x+3}{x -2}}$

$\rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }$

$\rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}$