Simplify \( =\frac{x^{2}(x+3)(x+3)-4(x+3)}{x+3} \) \( \left.=\frac{(x+3 x}{x+3}\right) \) \( = \)
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Let’s break it down step by step! First, we observe that the expression can be simplified. The numerator can be factored as follows: \[ \frac{x^{2}(x+3)(x+3)-4(x+3)}{x+3} = \frac{(x+3)(x^2(x+3)-4)}{x+3} \] Now, notice that \(x+3\) cancels out, assuming \(x \neq -3\): \[ = x^2(x+3) - 4 \] So the expression simplifies nicely! Now, don’t forget to consider special values like \( x = -3 \) where the original expression is undefined, so just keep that in mind! Always check for such restrictions when you simplify expressions!