Which of the following expressions is equivalent to for all ?

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Which of the following expressions is equivalent to

\dfrac{x^{2}+5x+4}{x+2}

for all

x\neq -2

? (a)

x+3+\dfrac{2}{x+2}

(b)

x+2+\dfrac{3}{x+2}

(c)

x+3-\dfrac{2}{x+2}

(d)

x+7+\dfrac{18}{x+2}