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Check whether the following are quadratic equations:
$(x + 2)^3 = 2x(x^2 – 1)$
Given:
Given equation is $(x + 2)^3 = 2x(x^2 – 1)$
To do:
We have to check whether the given equation is quadratic.
Solution:
The standard form of a quadratic equation is $ax^2+bx+c=0$.
$(x + 2)^3 = 2x(x^2 – 1)$
$x^3 + 2^3 + 3(x)(2) (x + 2) = 2x^3 - 2x$
$x^3 + 8 + 6x^2 + 12x = 2x^3 - 2x$
$2x^3-x^3 - 6x^2 - 2x -12x - 8 = 0$
$x^3-6x^2-14x-8=0$ is not of the form $ax^2+bx+c=0$
Therefore, $(x + 2)^3 = 2x(x^2 – 1)$ is not a quadratic equation.   
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