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Mathematics

Simplify:

p2x2{px3x(x23ax2)}p^2x - 2{px - 3x(x^2 - \overline{3a - x^2})}

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Answer

p2x2{px3x(x23ax2)}p^2x - 2{px - 3x(x^2 - \overline{3a - x^2})}

= p2x2{px3x(x23a+x2)}p^2x - 2{px - 3x(x^2 - 3a + x^2)}

= p2x2{px3x((x2+x2)3a)}p^2x - 2{px - 3x((x^2 + x^2) - 3a)}

= p2x2{px3x(2x23a)}p^2x - 2{px - 3x(2x^2 - 3a)}

= p2x2{px6x3+9ax}p^2x - 2{px - 6x^3 + 9ax}

= p2x2px+12x318axp^2x - 2px + 12x^3 - 18ax

Hence, p2x2{px3x(x23ax2)}=p2x2px+12x318axp^2x - 2{px - 3x(x^2 - \overline{3a - x^2})} = p^2x - 2px + 12x^3 - 18ax

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