Answer:
Step-by-step explanation:
2x² + 5x - 3 = 2x² - x + 6x - 3*1
=x(2x - 1) + 3(2x - 1)
= (2x -1)(x + 3)
[tex]\frac{x+3}{\frac{2x^{2}+5x-3}{x+1}}=(x+3)*\frac{x+1}{2x^{2}+5x-3}\\\\=(x+3)*\frac{(x+1)}{(2x-1)(x+3)}\\\\=\frac{x+1}{2x-1}\\\\5+\frac{x+3}{\frac{2x^{2}+5x-3}{x+1}}=5+\frac{x+1}{2x-1}\\\\=\frac{5*(2x-1)+(x+1)}{2x-1}\\\\=\frac{10x-5+x+1}{2x-1}\\\\=\frac{11x-4}{2x-1}[/tex]
