quadratic equations

Q. If Î±,Î² are the roots of quadratic equationnn ax²+bx+c, then find the equation whose roots are (Î±²-Î²²)(Î±³-Î²³) and Î±²Î²³+Î±³Î²² ?

2 Answers

Sum of roots happens to be a⁵+b⁵

but I dont see anything great in this question except doing it till the end...

Is it a doubt or do you want a simple solution?

in the equation a = 1 and b = -ve so the equation is x²-bx+c
sorry now try
by simple way the power will reach to 6 is there any trick

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