Answer
38$x^{2}$ + 17x - 24
Work Step by Step
(11$x^{2}$ + 7x - 4) + (27$x^{2}$+10x-20)
The like terms are 11$x^{2}$ and 27$x^{2}$ containing the same variable to the same power($x^{2}$), as well as 7x and 10x (both containing x), and the constant terms -4 and -20.
We begin by grouping these pairs of like terms.
(11$x^{2}$ + 27$x^{2}$) + (7x + 10x) +(-4 - 20)
= 38$x^{2}$ + 17x - 24