3x(x^2-3x+2)-x^2(9x^2-4)
Expanding the first term3x(x^2) - 3x(3x) + 3x(2)
= 3x^3 - 9x^2 + 6x
Expanding the second term-x^2(9x^2) + x^2(4)
= -9x^4 + 4x^2
Combining the two terms3x^3 - 9x^2 + 6x - 9x^4 + 4x^2
Rearranging the terms-9x^4 + 3x^3 - 5x^2 + 6x
Therefore, the simplified expression is-9x^4 + 3x^3 - 5x^2 + 6x
3x(x^2-3x+2)-x^2(9x^2-4)
Expanding the first term
3x(x^2) - 3x(3x) + 3x(2)
= 3x^3 - 9x^2 + 6x
Expanding the second term
-x^2(9x^2) + x^2(4)
= -9x^4 + 4x^2
Combining the two terms
3x^3 - 9x^2 + 6x - 9x^4 + 4x^2
Rearranging the terms
-9x^4 + 3x^3 - 5x^2 + 6x
Therefore, the simplified expression is
-9x^4 + 3x^3 - 5x^2 + 6x