Math, asked by ndivyanshipriyadarsh, 2 months ago

a^2+1/a=4
find the value of 2a^3+2/a^3​

Answers

Answered by wargranite
1

Answer:

104

Step-by-step explanation:

It is given that,

(a² + 1)/a = 4

a²/a+1/a=4(taking lcm and denominator as a)

a+1/a=4

2a³+2/a³ = 2[a³ + 1/a³]

= 2[(a+1/a)³ − 3(a)(1/a)(a + 1/a)] (taking 2 a common)

= 2[(4)³ – 3(4)]

= 2[64 – 12]

= 2(52)

= 104

Answered by mohitchajer
0

Answer:

4

Step-by-step explanation:

a²+1/a=4

(a³+1)/a=4

a³+1=4a

a³=4a-1

2a³+2/a³

2(4a-1)+2/(4a-1)

2+2

4

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