Question

Without actually calculating the cubes ,find the value of 45cube - 25cube - 20cube.

Answer 1

Hey friend

Good morning

ANSWER :-

IF a+b+c=0

Then,

${a}^{3} - {b}^{3} - {c}^{3} = 3abc \\ \\ = 3 \times 45 \times ( - 25) \times ( - 20) \\ = 67500 \\ \\ \\ hope \: it \: helps \\ \\ thanks$