Find the difference: (3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4) 3x^3-2x^2+4x-8+-5x^3-12x^2+3x+4 7 Combine like terms: square

To find the difference between the two polynomials, we need to subtract the second polynomial from the first polynomial.<br /><br />$(3x^{3}-2x^{2}+4x-8)-(5x^{3}+12x^{2}-3x-4)$<br /><br />To do this, we can distribute the negative sign to each term in the second polynomial:<br /><br />$(3x^{3}-2x^{2}+4x-8)+(-5x^{3}-12x^{2}+3x+4)$<br /><br />Now, we can combine like terms:<br /><br />$(3x^{3}-5x^{3})+(-2x^{2}-12x^{2})+(4x+3x)+(-8+4)$<br /><br />Simplifying, we get:<br /><br />$-2x^{3}-14x^{2}+7x-4$<br /><br />Therefore, the difference between the two polynomials is $-2x^{3}-14x^{2}+7x-4$.