Question 141

The value of $$(3^2 - 2^2 )^2 + (5^2 - 4^2 )^2 + (6^2 - 5^2 )^2$$ is

Solution

Expression : $$(3^2 - 2^2 )^2 + (5^2 - 4^2 )^2 + (6^2 - 5^2 )^2$$

= $$[(3-2) (3+2)]^2 + [(5-4) (5+4)]^2 + [(6-5) (6+5)]^2$$

= $$25 + 81 + 121 = 227$$

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