Question

If m + n = 1, then the value of m3 + n3 + 3mn is equal to

Answer 1

first cube

(m+n)^3 = m^3+n^3+3mn(m+n)

1=m^3+n^3+3mn

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Answer 2

Value of $\bold {m^3+n^3+3mn=1}$

Step-by-step explanation:

Given,

m+n=1.....(1)

To find,

$m^3+n^3+3mn$

Taking cube on both sides of equation (1)

⇒$(m+n)^3=(1)^3$

⇒$m^3+n^3+3mn(m+n)=1\ [(a+b)^3= a^3+b^3+3ab(a+b)]$

⇒$m^3+n^3+3mn(1)=1$

⇒$\bold {m^3+n^3+3mn=1}$

Hence,value of $\bold {m^3+n^3+3mn=1}$