What is the value of:
(√27 + √3)² - (√12 + √3)²

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Accepted Answer

1. **Simplify roots:** $\sqrt{27}=3\sqrt{3}$ and $\sqrt{12}=2\sqrt{3}$. 
2. **Form sums:** $\sqrt{27}+\sqrt{3}=4\sqrt{3}$ and $\sqrt{12}+\sqrt{3}=3\sqrt{3}$. 
3. **Square each:** $(4\sqrt{3})^2=48$ and $(3\sqrt{3})^2=27$. 
4. **Subtract:** $48-27=21$.

FINAL_ANSWER: a

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