Math, asked by Tanishka7906, 1 year ago

plz answer my question.... open in the pic ​

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Answered by sahuashish585
7

Answer:

hope it's helpful to you

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Answered by MANTUMEHER
2

Step-by-step explanation:

 {993}^{3}  \\  =  {(1000 - 7)}^{3}  \\  =  {1000}^{3}  -  {7}^{3}  - 3 \times 1000 \times 7(1000 - 7) \\  = 1000000000 - 343 - 21000 \times 993 \\  = 1000000000 - 343 - 20853000 \\  = 1000000000 - 20853343 \\  = 979146657 \\  \\  = {1002}^{3}  \\  =  {(1000 + 2)}^{3}  \\  =  {1000}^{3}  +  {2}^{3}  + 3 \times 1000 \times 2(1000 + 2) \\  =1000000000 + 8 + 6000(1002) \\  = 1000000008 + 6012000 \\  = 1006012008

 t+1/t=8 cube both side we get \\</p><p>{(t+1/t)}^{3}=512 \\</p><p>{t}^{3}+{1/t}^{3}+3 \times  t \times 1/t (t+1/t)=512 \\ {t}^{3}+{1/t}^{3}+3 \times 8=512 \\</p><p>{t}^{3}+{1/t}^{3}+24=512 \\</p><p>{t}^{3}+{1/t}^{3}=488

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