Question

find the value of (199)^3 using suitable algebraic identify​

Answer 1

Answer:

7880599

Step-by-step explanation:

==: (199)³

==: (200 - 1)³                                               [(x - y)³ = x³ - 3x²y + 3xy² - y³]

==: 8000000 - 3*40000*1 + 3*200*1 - 1

==: 8000000 - 120000 + 600 - 1

==: 7880599

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Answer 2

Answer:

we can use $(a+b)^{3}$=$a^{3}$-3$a^{2}$b+3a$b^{2}$-$b^{3}$

$199^{3}$=$(200-1)^{3}$

     =$200^{3} -1^{3}$-(3 x $200^{2}$ x 1)+(3 x 200 x $1^{2}$)

     =8000000-1-120000+600

     =78,80,599

Step-by-step explanation: