Question

20 Points + Brainliest for the answer and Explanation!!!

Answer 1

Answer:

$P+Q=5x^2+4$

$Q-P=-x^2-4x+16$

Step-by-step explanation:

We are given

$P=3x^2+2x-6$

$Q=2x^2-2x+10$

Calculation of P+Q:

$P+Q=3x^2+2x-6+2x^2-2x+10$

now, we can combine like terms

$P+Q=3x^2+2x^2+2x-2x+10-6$

$P+Q=5x^2+0+4$

$P+Q=5x^2+4$

Calculation of Q-P:

$Q-P=2x^2-2x+10-(3x^2+2x-6)$

Firstly, we will distribute negative sign

$Q-P=2x^2-2x+10-3x^2-2x+6$

now, we can combine like terms

$Q-P=2x^2-3x^2-2x-2x+6+10$

$Q-P=-x^2-4x+16$