(3x^4+6x^2+14x-5)+(3x^3+3x^2-10)

To solve this problem, we need to add the two polynomials together.<br /><br />Given:<br />$(3x^{4}+6x^{2}+14x-5)+(3x^{3}+3x^{2}-10)$<br /><br />Step 1: Combine like terms.<br />$3x^{4} + 6x^{2} + 14x - 5 + 3x^{3} + 3x^{2} - 10$<br /><br />Step 2: Group the like terms together.<br />$3x^{4} + 3x^{3} + (6x^{2} + 3x^{2}) + 14x - 5 - 10$<br /><br />Step 3: Simplify the expression.<br />$3x^{4} + 3x^{3} + 9x^{2} + 14x - 15$<br /><br />Therefore, the final answer is:<br />$3x^{4} + 3x^{3} + 9x^{2} + 14x - 15$