Math, asked by blessedsaiansh9, 18 days ago

Find the value of the expression a3(power3) + b3(power3) + c3(power3) – 3abc for a = 2, b = 3, c = 4

Answers

Answered by Anonymous
8

Expression provided with us:

 \rm\implies  {a}^{3}  +  {b}^{3}  +  {c}^{3} - 3abc  \: ...(1)

We also know that

 \rm\implies  a = 2

 \rm\implies  b =3

 \rm\implies  c = 4

Now

➡ Substitute the value of a,b,c in equation (1) and solve

  \longrightarrow\bigstar \:  \:   \sf\boxed{\bold{\orange{ {(2)}^{3}  +  {(3)}^{3}  +  {(4)}^{3} - 3(2)(3)(4) }}}\: \: \: \bigstar\\

  \longrightarrow\bigstar \:  \:   \sf \boxed{\bold \blue{{8 + 27 + 64 - 72}}}\: \: \: \bigstar\\

  \longrightarrow\bigstar \:  \:   \sf\boxed{\bold{\red{35 + 64 - 72}}}\: \: \: \bigstar\\

  \longrightarrow\bigstar \:  \:   \sf\boxed{\bold{\pink{99 - 72 }}}\: \: \: \bigstar\\

  \longrightarrow\bigstar \:  \:   \sf\boxed{\bold{\blue{27}}}\: \: \: \bigstar\\

Thus

  • 27 is required answer
Answered by Ɍɛղgɔƙմ
16

Answer:

Thanks for your question...

Your required answer :

Given :

  • Equation =
  • b {}^{(3) {}^{3} }   + c { {}^{(3)} }^{3}  - 3abc
  • a = 2
  • b = 3
  • c = 4

Solving :

  • b⁹ + c⁹ - 3abc
  • (3) + (4) - 3 × 2 × 3 × 4
  • 19683 + 262144
  • 281827 - 72
  • 281755

Brainliest Please

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