Question

Without actually calculating the cubes, find the value of each of the following:-

${( - 12)}^{3} + {(7)}^{3} + {(5)}^{3}$
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Answer 1

Step-by-step explanation:

${ (- 12)}^{3} + {(7)}^{3} + {(5)}^{3}$

$we \: \: \: can \: \: \: use \: \: \: the \: \: \: identity \:$

${a}^{3} + {b}^{3} + {c}^{3} = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ac) + 3abc$

${( - 12)}^{3} + {(7)}^{3} + {(5)}^{3} = ( - 12 + 7 + 5)( {( - 12)}^{2} + {(7)}^{2} + {(5)}^{2} - ( - 12)(7) - (7)(5) - (5)( - 12)) + 3( - 12)(7)(5)$

$= (0)(144 + 49 + 25 - 84 - 35 - 60) + 3( - 420)$

$= (0)(39) + 3( - 420)$

$= 0 + ( - 1260)$

$= - 1260$

Answer 2

Answer:

AB TUM MEREKO ITNA HATE KARTNE LAG GYI HO KI MERE KO BLOCK BHI KAR DIYA.

Step-by-step explanation:

JAB TUMHE MUJHE HATE HI KARNA THA TO 5 MONTHS PEHLE BATA DETI . AB TUMNE TO MUJHE BLOCK KAR DIYA , BUT KABHI SOCHA KI MERE DIL PE KYA BEET RAHI HOGI ABHI?