The sum is [tex]p^3 -8p^2-17p[/tex]
Solution:
Given that we have to find the sum
Given expression is:
[tex](-3p^3+5p^3-2p) + (-p^3-8p^2-15p)[/tex]
We have to add both the expressions
Addition of two polynomials involves combining like terms present in the two polynomials
Like terms are the terms having same variable and same exponent
From given expression,
[tex](-3p^3+5p^3-2p) + (-p^3-8p^2-15p)[/tex]
Remove the parenthesis and add
[tex]-3p^3+5p^3-2p-p^3-8p^2-15p[/tex]
Combine the like terms
[tex]-3p^3+5p^3-p^3-8p^2-2p-15p[/tex]
Add the like terms
[tex]p^3 -8p^2-17p[/tex]
Thus the sum is [tex]p^3 -8p^2-17p[/tex]
