Question

derivita - 2.1 adding, subtracting, and classifying polynomials
due sep 16 by 11:59pm points 10 submitting an external tool
available sep 12 at 12am - sep 30 at 11:59pm
derivita
question 14 of 15
simplify the following sum of polynomials completely.
(6p² - 8pq - 12q²)+(-11p² + 4pq)

Explanation:

Step1: Remove parentheses

$(6p^{2}-8pq - 12q^{2})+(-11p^{2}+4pq)=6p^{2}-8pq - 12q^{2}-11p^{2}+4pq$

Step2: Combine like - terms for $p^{2}$ terms

$6p^{2}-11p^{2}=(6 - 11)p^{2}=-5p^{2}$

Step3: Combine like - terms for $pq$ terms

$-8pq + 4pq=(-8 + 4)pq=-4pq$

Step4: Write the simplified polynomial

The simplified polynomial is $-5p^{2}-4pq-12q^{2}$

Answer:

$-5p^{2}-4pq - 12q^{2}$