polynomials
(4u^2-2u+7)+(-5u^2+u+3)
Just add like terms
4 u^2 - 5 u^2
plus
-2 u + 1 u
plus
7 + 3
= - u^2 - u + 10
To simplify the expression (4u^2-2u+7)+(-5u^2+u+3), we need to combine like terms. Like terms are terms that have the same variable(s) raised to the same power(s).
Let's first group the like terms together:
(4u^2 - 5u^2) + (-2u + u) + (7 + 3)
Notice that the terms 4u^2 and -5u^2 have the same variable (u) raised to the same power (2), so we can combine them:
(4u^2 - 5u^2) = -u^2
Similarly, the terms -2u and u have the same variable (u) raised to the power 1, so we can combine them:
(-2u + u) = -u
Finally, the numbers 7 and 3 can be added together:
(7 + 3) = 10
Bringing it all together, the simplified expression is:
- u^2 - u + 10