Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises - Page 496: 52

7$x^{4}$+2$x^{3}$-8$x^{2}$+4

Given: (7$x^{4}$+3$x^{3}$-5x+1)-($x^{3}$+8$x^{2}$-5x-3) Simplify parenthesis: 7$x^{4}$+3$x^{3}$-5x+1-$x^{3}$-8$x^{2}$+5x+3 Combine like terms: 7$x^{4}$+(3$x^{3}$-$x^{3}$)-8$x^{2}$+(5x-5x)+(1+3) Simplify: 7$x^{4}$+2$x^{3}$-8$x^{2}$+4