Question 59

If m + n = 1, then the value of $$m^3 + n^3 + 3mn$$ is equal to

Solution

Given : $$m+n=1$$ ------------(i)

Cubing both sides

=> $$(m+n)^3=(1)^3$$

=> $$m^3+n^3+3mn(m+n)=1$$

Using equation (i), we get :

=> $$m^3+n^3+3mn(1)=1$$

=> $$m^3 + n^3 + 3mn=1$$

=> Ans - (B)


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