exam Maths Puzzle Numerical Ability

Can you please verify my answer?

Write in simplest form x^2+4x+4/x+2
= (x+2)(x+2)/x+2 = x+2

The x+2 on top and the x+2 on the bottom cancel out, leaving you with one x+2 left over. Is this correct?

Thanks so much for your help!

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