Question 4

If $$p$$ & $$q = p^2 + 4pq - q^2$$  then find the value of $$(3$$&$$6) + (4$$&$$5)$$.

Solution

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Given : $$p$$ & $$q = p^2 + 4pq - q^2$$

To find : $$(3$$&$$6) + (4$$&$$5)$$

= $$(3^2+4\times3\times6-6^2)+(4^2+4\times4\times5-5^2)$$

= $$(9+72-36)+(16+80-25)$$

= $$45+71=116$$

=> Ans - (C)

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