Question

add the polynomials.

1. $(-7x^{2}+14+2x)+(10x+7-5x^{2})$

$-12x^{2}+9x+21$

1. $(-9a^{3}-a^{2}-3a^{5}-a^{4}-a)+(6a^{4}-a-a^{2}-a^{5}-3a^{3})$

$-4a^{5}-7a^{4}-10a^{3}-4a^{2}-2a$

Explanation:

Step1: Group like terms (Problem 1)

$(-7x^2 -5x^2) + (2x + 10x) + (14 + 7)$

Step2: Combine like terms (Problem 1)

$(-12x^2) + (12x) + 21$

Step3: Group like terms (Problem 2)

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

Step4: Combine like terms (Problem 2)

$(-12a^3) + (-2a^2) + (-5a^5) + (5a^4) + (-2a)$

Step5: Rearrange by degree (Problem 2)

$-5a^5 +5a^4 -12a^3 -2a^2 -2a$

Answer:

1. $-12x^2 + 12x + 21$
2. $-5a^5 + 5a^4 - 12a^3 - 2a^2 - 2a$