1. **State the problem:** Calculate the value of the expression $5^2 + 10 \times 6 - 3 \times 2$. 2. **Recall the order of operations:** According to PEMDAS/BODMAS, we first calculate exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right. 3. **Calculate the exponent:** $$5^2 = 25$$ 4. **Calculate the multiplications:** $$10 \times 6 = 60$$ $$3 \times 2 = 6$$ 5. **Substitute these values back into the expression:** $$25 + 60 - 6$$ 6. **Perform addition and subtraction from left to right:** $$25 + 60 = 85$$ $$85 - 6 = 79$$ 7. **Final answer:** $$79$$