Question

Which expression is equivalent to (x+1)^2-9/x+4
A. X-2
B. X+2
C. X-4
D. X+4

Answer 1

`\frac{(x + 1) {}^(2) - 9}{x + 4}`

Use difference of squares for numerator:


`((x + 1 + 3)(x + 1 - 3))/(x + 4)`

`((x + 4)(x - 2))/(x + 4)`

Simplify x+4:


`x - 2`