find the value of (1/4)^3+(1/3)^3-(7/12)^3 without actually calculating the cubes
Answers
Answered by
13
Step-by-step explanation:
(1/4)³ + (1/3)³ - (7/12)³
(1/4 + 1/3)(1/16 - 1/12 + 1/9) - (7/12)³
7/12 ( -1/48 + 1/9 ) - (7/12)³
7/12 ( -1/48 + 1/9 - 49/144)
7/12 (-3 + 16 - 49 ) / 144
7/12 × -36/144
7/12 × -1/4
-7/48
Answered by
3
Answer:
Value of (1/4)^3 + (1/3)^3 - (7/12)^3 = -7/48
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