Polynomial Addition and Subtraction Simplify each expression. \( \begin{array}{ll}\text { 1) }\left(2 x^{4}+8\right)-\left(6 x^{4}+4\right) & \text { 2) }\left(5 v^{2}-2 v\right)+\left(3-v^{2}\right) \\ 2 \times 4+8 & \text { Period } \\ \text { 3) }\left(3 p^{4}-8+6 p^{3}\right)-\left(8 p^{4}+8-4 p^{3}\right)\end{array} \)

To simplify the polynomial expressions: 1) For \( (2x^{4}+8) - (6x^{4}+4) \): Combine like terms: \( 2x^{4} - 6x^{4} + 8 - 4 = -4x^{4} + 4 \). So, the simplified expression is \( -4x^{4} + 4 \). 2) For \( (5v^{2}-2v) + (3-v^{2}) \): Combine like terms: \( 5v^{2} - v^{2} - 2v + 3 = 4v^{2} - 2v + 3 \). The simplified expression is \( 4v^{2} - 2v + 3 \). 3) For \( (3p^{4}-8+6p^{3}) - (8p^{4}+8-4p^{3}) \): Combine like terms: \( 3p^{4} - 8p^{4} + 6p^{3} + 4p^{3} - 8 = -5p^{4} + 10p^{3} - 8 \). The simplified expression is \( -5p^{4} + 10p^{3} - 8 \).