Check whether the following is a quadratic eq | vedclass

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(A) Given equation: $x^{3}-4x^{2}-x+1=(x-2)^{3}$Expand the right side using the identity $(a-b)^{3} = a^{3}-b^{3}-3a^{2}b+3ab^{2}$:$(x-2)^{3} = x^{3}-

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(A) Given equation: $x^{3}-4x^{2}-x+1=(x-2)^{3}$Expand the right side using the identity $(a-b)^{3} = a^{3}-b^{3}-3a^{2}b+3ab^{2}$:$(x-2)^{3} = x^{3}-2^{3}-3(x^{2})(2)+3(x)(2^{2}) = x^{3}-8-6x^{2}+12x$Substitute this back into the equation:$x^{3}-4x^{2}-x+1 = x^{3}-6x^{2}+12x-8$Subtract $x^{3}$ from both sides:$-4x^{2}-x+1 = -6x^{2}+12x-8$Rearrange the terms to one side:$(-4x^{2}+6x^{2}) + (-x-12x) + (1+8) = 0$$2x^{2}-13x+9 = 0$Since the equation is in the form $ax^{2}+bx+c=0$ where $a 
eq 0$,it is a quadratic equation.

Check whether the following is a quadratic equation:
$x^{3}-4x^{2}-x+1=(x-2)^{3}$

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Check whether the following is a quadratic equation:$x^{3}-4x^{2}-x+1=(x-2)^{3}$