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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Updated on: 10-Oct-2022

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