To simplify the expression (\frac{b - \sqrt{3}b}{\sqrt{3}b + \sqrt{3}b^2}), we can first factor out a common factor of (b) from the numerator:
(\frac{b(1 - \sqrt{3})}{\sqrt{3}b(1 + b)})
Next, we can simplify the expression by dividing both the numerator and denominator by (\sqrt{3}b):
(\frac{1 - \sqrt{3}}{1 + b})
To simplify the expression (\frac{b - \sqrt{3}b}{\sqrt{3}b + \sqrt{3}b^2}), we can first factor out a common factor of (b) from the numerator:
(\frac{b(1 - \sqrt{3})}{\sqrt{3}b(1 + b)})
Next, we can simplify the expression by dividing both the numerator and denominator by (\sqrt{3}b):
(\frac{1 - \sqrt{3}}{1 + b})