Question

without finding the cubes, find the value of 1/4³+1/3³-,7/12³​

Answer 1

Answer:

-7/48

Step-by-step explanation:

(1/4)³+(1/3)³-(7/12)³

(1/4)³+(1/3)³-(1/4+1/3)³

a³+b³- (a+b)³

a³+b³-(a³+b³+3ab(a+b))

a³+b³-a³-b³-3ab(a+b)

=>-3ab(a+b)

(-3)(1/4)(1/3)(1/4+1/3)

-1/4*7/12

-7/48