Question 59

If a = 2 , b = -3 then the value of $$27a^3 - 54a^2b + 36ab^2 - 8b^3$$ is

Solution

Given : $$a=2$$ and $$b=-3$$

To find : $$27a^3 - 54a^2b + 36ab^2 - 8b^3$$

= $$(3a-2b)^3$$

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

=$$(12)^3=1728$$

=> Ans - (D)

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