Examples
Example 1
Mark and simplify the sum of polynomials [[$ 2a+3 $]] and [[$ -5a+1 $]].
The sum is marked [[$ (2a+3)+(-5a+1) $]].Example 2
Mark and simplify the opposite polynomial of [[$ -6a^2+b-1 $]].
The opposite polynomial is formed by placing a minus sign in front of the polynomial.
Example 3
Mark and simplify the difference of polynomials[[$ 2a+3 $]] and [[$ -5a+1 $]].
The polynomials are subtracted from one another by adding the opposite polynomial of the latter polynomial to the first polynomial.
Example 4
Calculate the value of polynomial [[$ a-3a^2+4-5a-(3-2a^2-4a) $]] when[[$ a=10 $]].
Before placing the value of a variable inside the expression, you should simplify the polynomial![[$ a-3a^2+4-5a-(3-2a^2-4a) = a-3a^2+4-5a-3+2a^2+4a =-a^2+1 $]]
Place 10 in the place of a in the simplified expression [[$ -a^2+1 $]].
[[$ -10^2+1=-100+1=-99 $]]