Question

Find the sum. (-3p^3+5p^3-2p)+(-p^3-8p^2-15p)

Answer 1

The sum is $p^3 -8p^2-17p$

Solution:

Given that we have to find the sum

Given expression is:

$(-3p^3+5p^3-2p) + (-p^3-8p^2-15p)$

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,

$(-3p^3+5p^3-2p) + (-p^3-8p^2-15p)$

Remove the parenthesis and add

$-3p^3+5p^3-2p-p^3-8p^2-15p$

Combine the like terms

$-3p^3+5p^3-p^3-8p^2-2p-15p$

Add the like terms

$p^3 -8p^2-17p$

Thus the sum is $p^3 -8p^2-17p$