Math, asked by nitinthecursor6711, 1 year ago

(a+1/a)² = 9 find (a³+ 1/a³) 2nd question pls pls pls

Answers

Answered by Christopher123456789
1

Answer:18

Step-by-step explanation:

a+1/a=3

then

Answered by Santhuus
0

Answer:

18

Step-by-step explanation:

 {(a +  \frac{1}{a} )}^{2}  = 9 \\ (a +  \frac{1}{a}) = 3 \\   {(a +  \frac{1}{a}) }^{3}  =  {a}^{3}  +  \frac{1}{ {a}^{3} } + 3a \times  \frac{1}{a} (a +  \frac{1}{a}) \\  {3}^{3} \:  \:   =  {a}^{3}  +  \frac{1}{ {a}^{3} }  + 3 \times 3 \\ 27 =  {a}^{3}  +  \frac{1}{ {a}^{3} }  + 9 \\  {a}^{3}  +  \frac{1}{ {a}^{3} }  = 27 - 9 \\  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \: =18 \\  =  =  =  =  =  =  =  =  =  =  =  =  =  =  =  =  =

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