Answer
-3$y^{6}$ + 8$y^{4}$ + $y^{2}$
Work Step by Step
(-2$y^{6}$+3$y^{4}$ - $y^{2}$) + (-$y^{6}$ +5 $y^{4}$ +2$y^{2}$)
The like terms are -2$y^{6}$ and -$y^{6}$ (both containing $y^{6}$) , 3$y^{4}$ and 5 $y^{4}$ (both containing $y^{4}$) , -$y^{2}$ and 2$y^{2}$ (both containing $y^{2}$).
We begin by grouping these pairs of like terms
=(-2$y^{6}$ -$y^{6}$) + (3$y^{4}$ + 5 $y^{4}$) + (-$y^{2}$ + 2$y^{2}$)
= -3$y^{6}$ + 8$y^{4}$ + $y^{2}$
