Question

Which expression is equivalent to

A:4x
B:4x+4
C:x^2+7x+10
D:-x^2-5x-6

Answer 1

A

Explanation:

x + 2 + [ 4x -
`(x^2+6x+8)/(x+4)` ] ← factorise the quadratic on the numerator

= x + 2 + [ 4x -
`((x+4)(x+2))/(x+4)` ] ← cancel (x + 4) on numerator/denominator

= x + 2 + (4x - (x + 2)

= x + 2 + 4x - x - 2 ← collect like terms

= 4x