Question

Please answer correctly,I'm struggling.

Answer 1

Explanation:

2x² + 5x - 3 = 2x² - x + 6x - 3*1

=x(2x - 1) + 3(2x - 1)

= (2x -1)(x + 3)

`(x+3)/((2x^(2)+5x-3)/(x+1))=(x+3)*(x+1)/(2x^(2)+5x-3)\\\\=(x+3)*((x+1))/((2x-1)(x+3))\\\\=(x+1)/(2x-1)\\\\5+(x+3)/((2x^(2)+5x-3)/(x+1))=5+(x+1)/(2x-1)\\\\=(5*(2x-1)+(x+1))/(2x-1)\\\\=(10x-5+x+1)/(2x-1)\\\\=(11x-4)/(2x-1)`