Math, asked by sanj12345, 11 months ago

(x+2)^3=2x(x^2-1) check whether is a quadratic ​

Answers

Answered by Anonymous
4

(X + 2 ) 3 = 2X(X )(2_1)

3X + 6 = 2X² (1)

2X² - 3X -6 =0

YES IT IS QUADRATIC

or

if question is

(X+2)³ = 2X (X²_1)

..........USING (a+b)³

X³+8+(3×X²×2 )+( 3×X ×2²) = 2X³-2X

X³+8 +6X² + 12X -2X³ +2X= 0

-X³ +6X² +14X +8= 0

HENCE IT IS NOT QUADRATIC BUT CUBIC EQUATION

Answered by zahaansajid
5

 {(x + 2)}^{3}  = 2x( {x}^{2}  - 1) \\  {x}^{3}  + 8 + 6 {x}^{2}  + 12x = 2 {x}^{3}  - 2x \\ x {}^{3}  - 2 {x}^{3}  + 6 {x}^{2}  + 12x + 2x + 8 = 0 \\  -  {x}^{3}  +  6{x}^{2}  + 14x + 8 = 0

Hence, the given equation is not a quadratic equation as it has the term containing

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