12. $(3x^{4}+6x^{3}-5x^{2})+(2x^{4}-7x^{2}-9x^{3})$ | Sovi AI

QUESTION IMAGE

$12. $(3x^{4}+6x^{3}-5x^{2})+(2x^{4}-7x^{2}-9x^{3})$$

Question

$(3x^{4}+6x^{3}-5x^{2})+(2x^{4}-7x^{2}-9x^{3})$

Explanation:

Step1: Remove parentheses

$3x^4 + 6x^3 - 5x^2 + 2x^4 - 7x^2 - 9x^3$

Step2: Group like terms

$(3x^4 + 2x^4) + (6x^3 - 9x^3) + (-5x^2 - 7x^2)$

Step3: Combine like terms

$5x^4 - 3x^3 - 12x^2$

Answer:

$5x^4 - 3x^3 - 12x^2$