Question

Without actually finding the cubes factorice find the value of (1/4)^3+(1/3)^3-(7/12)^3

Answer 1

3 x 1/4 × 1/3 × - 7/12 = -7/48....

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Answer 2

a=1/4
b=1/3
c=7/12
                           We know that a+b+c = 0
                                       = 1/4 + 1/3 + 7/12
                                       = 0

                            a^3 + b^3 +c^3 = 3abc
                                        = 3 X 1/4 X 1/3 X 7/12
                                        = 7/48    ans...