Final answer:
To subtract the polynomial expressions (x^3+2x-10) and (4x^2+11x-32), combine like terms by adding the corresponding coefficients.
Step-by-step explanation:
To subtract the two polynomial expressions (x^3+2x-10) and (4x^2+11x-32), combine like terms by adding the corresponding coefficients of the same variables.
Step 1: Add the coefficients of the x^3 terms: 0x^3 + 4x^3 = 4x^3.
Step 2: Add the coefficients of the x^2 terms: 0x^2 + 4x^2 = 4x^2.
Step 3: Add the coefficients of the x terms: 2x + 11x = 13x.
Step 4: Add the coefficients of the constant terms: -10 + (-32) = -42.
Putting it all together, the simplified expression is 4x^3 + 4x^2 + 13x - 42.