Math, asked by ayushmaan8763, 7 months ago

if 2a + 5b + 3c = 0 then find the value of 8a3 + 125b3 + 27c3 - 90 abc​

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Answered by singhudishapratap
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Answered by ImLucky1
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Step-by-step explanation:

if \: a + b + c + = 0 \\ then \:  {a}^{3}  +  {b}^{3}  +  {c}^{3}  - 3abc = 0 \\  \\ a = 2a \\ b = 5b \\ c = 3c \\  \\ {(2a)}^{3}  +  {(5b)}^{3}  +  {(3c)}^{3}  - 3(2a)(5b)(3c) = 0 \\ {8a}^{3}  +  {125b}^{3}  +  {27c}^{3}  - 3(2a)(5b)(3c) = 0  \\  {8a}^{3}  +  {125b}^{3}  +  {27c}^{3}  - 90abc = 0

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