Question

without actually calculating the cubes find the value of (-15) ³+(-7) ³+(4) ³​

Answer 1

Answer:

-3654

Step-by-step explanation:

Formula: a³+b³+c³ = (a + b + c) (a² + b² + c² – ab – bc – ca) + 3abc.

a = -15, b = -7 and c = 4

= (-15)³+(-7)³+(4)³

= (-15+(-7)+(4)) ((-15)²+(-7)²+(4)²-(-15)(-7)-(-7)(4)-(4)(-15)) + 3(-15)(-7)(4)

= (-18) (273) + 1260

= -4914 + 1260

= -3654