Question

Check whether the following is a quadratic equation
(x-2)3=x3-4x2+x+1​

Answer 1

Solution :-

Simply the given equation:

$\sf \to \: (x - 2) {}^{3} = x {}^{3} - 4x {}^{2} + x + 1 \\ \sf\to \: x {}^{3} - 6x {}^{2} + 12x - 8 = x {}^{3} - 4x {}^{2} + x + 1 \\ \sf \to \: - 6x {}^{2} + 4x {}^{2} + 12x - x - 8 -1 = 0 \\ \sf \to \: \green{\bf{- 2x {}^{2} + 11x - 9 = 0}}$

∴ The following equation is in the form of ax²+bx-c =0, so it's a quadratic equation.

Used identity:

(a-b)³ = (a-b)³=a³-3a²b+3ab²-b³

Answer 2

Step-by-step explanation:

here's your answer.............