If the zeroes of the polynomial f(x)=ax^3+3bx^2+3cx+d are in A.P., prove that 2b^3-3abc+a^2d=0...

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рдпрджрд┐ рдмрд╣реБрдкрдж ` f ( x ) = ax ^ 3 + 3b x ^ 2 + 3cx + d ` рдХреЗ рдореВрд▓ рд╕рдорд╛рдВрддрд░ рд╢реНрд░реЗрдгреА рдореЗрдВ рдпрджрд┐ рдмрд╣реБрдкрдж ` f ( x ) = ax ^ 3 + 3b x ^ 2 + 3cx + d ` рдХреЗ рдореВрд▓ рд╕рдорд╛рдВрддрд░ рд╢реНрд░реЗрдгреА рдореЗрдВ
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