Find the difference: (3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4) 3x^3-2x^2+4x-8+square Combine like terms square -5x^3-12x^2+3x+4 -5x^3-12x^2-3x-4 5x^3+12x^2+3x+4 5x^3+12x^2-3x-4 : 8x^3-10x^2+7x+4 -8x^3-10x^2+x-12 -2x^3-14x^2+7x-4 : -2x^6-14x^4+x^2-12

To solve the problem, we need to find the difference between the two polynomials: ### Step 1: Distribute the negative signWhen subtracting a polynomial, distribute the negative sign across all terms in the second polynomial: ### Step 2: Combine like termsNow, group the terms with the same powers of :- For : ,- For : ,- For : ,- For the constant term: .Thus, the result is: ### Final Answer:The difference is: