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 \nSimplify each expression.  \n1) (5 p2 − 3) + (2 p2 − 3 p3 ) 2) (a3 − 2a2 ) − (3a2 − 4a3 )  \n3) (4 + 2n3 ) + (5n3 + 2) 4) (4n − 3n3 ) − (3n3 + 4n)  \n5) (3a2 + 1) − (4 + 2a2 ) 6) (4r3 + 3r4 ) − (r4 − 5r3 )  \n7) (5a + 4) − (5a + 3) 8) (3x4 − 3x) − (3x − 3x4 )  \n9) (−4k4 + 14 + 3k2 ) + (−3k4 − 14k2 − 8) 10) (3 − 6n5 − 8n4 ) − (−6n4 − 3n − 8n5 )  \n11) ( 12a5 − 6a − 10a3 ) − (10a − 2a5 − 14a4 ) 12) (8n − 3n4 + 10n2 ) − (3n2 + 11n4 − 7)  \n13) (−x4 + 13x5 + 6x3 ) + (6x3 + 5x5 + 7x4 ) 14) (9r3 + 5r2 + 11r) + (−2r3 + 9r − 8r2 )  \n15) ( 13n2 + 11n − 2n4 ) + (−13n2 − 3n − 6n4 ) 16) (−7x5 + 14 − 2x) + ( 10x4 + 7x + 5x5 )  \n17) (7 − 13x3 − 11x) − (2x3 + 8 − 4x5 ) 18) ( 13a2 − 6a5 − 2a) − (−10a2 − 11a5 + 9a)  \n19) (3v5 + 8v3 − 10v2 ) − (−12v5 + 4v3 + 14v2 ) 20) (8b3 − 6 + 3b4 ) − (b4 − 7b3 − 3)  \n21) (k4 − 3 − 3k3 ) + (−5k4 + 6k3 − 8k5 ) 22) (−10k2 + 7k + 6k4 ) + (−14 − 4k4 − 14k)  \n23) (−7n2 + 8n − 4) − (−11n + 2 − 14n2 ) 24) ( 14 p4 + 11 p2 − 9 p5 ) − (−14 + 5 p5 − 11 p2 )  \n25) (8k + k2 − 6) − (−10k + 7 − 2k2 )  \n26) (−9v2 − 8u) + (−2uv − 2u2 + v2 ) + (−v2 + 4uv)  \n27) (4x2 + 7x3y 2 ) − (−6x2 − 7x3y 2 − 4x) − (10x + 9x2 )  \n28) (−5u3 v4 + 9u) + (−5u3 v4 − 8u + 8u2 v 2 ) + (−8u4 v 2 + 8u3 v4 )  \n29) (−9xy3 − 9x4y 3 ) + (3xy3 + 7 y4 − 8x4y4 ) + (3x4y 3 + 2xy3 )  \n30) ( y3 − 7x4y 4 ) + (−10x4y 3 + 6 y3 + 4x4y4 ) − (x4y 3 + 6x4y 4 )  \nKuta Software-Infinite Algebra 1  \nAdding and Subtracting Polynomials  \nSimplify each expression.  \n1) (5 p2 − 3) + (2 p2 − 3 p3 )  \n−3 p3 + 7 p2 − 3  \nName___________________________________  \nDate________________ Period____  \n2) (a3 − 2a2 ) − (3a2 − 4a3 )  \n5a3 − 5a2  \n3) (4 + 2n3 ) + (5n3 + 2) 4) (4n − 3n3 ) − (3n3 + 4n)  \n7n3 + 6 −6n3  \n5) (3a2 + 1) − (4 + 2a2 ) 6) (4r3 + 3r4 ) − (r4 − 5r3 )  \na 2 − 3 2r4 + 9r3  \n7) (5a + 4) − (5a + 3) 8) (3x4 − 3x) − (3x − 3x4 )  \n1 6x4 − 6x  \n9) (−4k4 + 14 + 3k2 ) + (−3k4 − 14k2 − 8) 10) (3 − 6n5 − 8n4 ) − (−6n4 − 3n − 8n5 )  \n−7k4 − 11k2 + 6 2n5 − 2n4 + 3n + 3  \n11) ( 12a5 − 6a − 10a3 ) − (10a − 2a5 − 14a4 ) 12) (8n − 3n4 + 10n2 ) − (3n2 + 11n4 − 7)  \n14a5 + 14a4 − 10a3 − 16a −14n4 + 7n2 + 8n + 7  \n13) (−x4 + 13x5 + 6x3 ) + (6x3 + 5x5 + 7x4 ) 14) (9r3 + 5r2 + 11r) + (−2r3 + 9r − 8r2 )  \n18x5 + 6x4 + 12x3 7r3 − 3r2 + 20r  \n15) ( 13n2 + 11n − 2n4 ) + (−13n2 − 3n − 6n4 ) 16) (−7x5 + 14 − 2x) + ( 10x4 + 7x + 5x5 )  \n−8n4 + 8n −2x5 + 10x4 + 5x + 14  \n17) (7 − 13x3 − 11x) − (2x3 + 8 − 4x5 ) 18) ( 13a2 − 6a5 − 2a) − (−10a2 − 11a5 + 9a)  \n4x5 − 15x3 − 11x − 1 5a5 + 23a2 − 11a  \n19) (3v5 + 8v3 − 10v2 ) − (−12v5 + 4v3 + 14v2 ) 20) (8b3 − 6 + 3b4 ) − (b4 − 7b3 − 3)  \n15v5 + 4v3 − 24v2 2b4 + 15b3 − 3  \n21) (k4 − 3 − 3k3 ) + (−5k4 + 6k3 − 8k5 ) 22) (−10k2 + 7k + 6k4 ) + (−14 − 4k4 − 14k)  \n−8k5 − 4k4 + 3k3 − 3 2k4 − 10k2 − 7k − 14  \n23) (−7n2 + 8n − 4) − (−11n + 2 − 14n2 ) 24) ( 14 p4 + 11 p2 − 9 p5 ) − (−14 + 5 p5 − 11 p2 )  \n7n2 + 19n − 6 −14 p5 + 14 p4 + 22 p2 + 14  \n25) (8k + k2 − 6) − (−10k + 7 − 2k2 )  \n3k2 + 18k − 13  \n26) (−9v2 − 8u) + (−2uv − 2u2 + v2 ) + (−v2 + 4uv)  \n−9v2 + 2uv − 2u2 − 8u  \n27) (4x2 + 7x3y 2 ) − (−6x2 − 7x3y 2 − 4x) − (10x + 9x2 )  \n14x3y 2 + x 2 − 6x  \n28) (−5u3 v4 + 9u) + (−5u3 v4 − 8u + 8u2 v 2 ) + (−8u4 v 2 + 8u3 v4 )  \n−2u3 v 4 − 8u4 v 2 + 8u2 v 2 + u  \n29) (−9xy3 − 9x4y 3 ) + (3xy3 + 7 y4 − 8x4y4 ) + (3x4y 3 + 2xy3 )  \n−8x4y 4 − 6x4y 3 + 7 y4 − 4xy3  \n30) ( y3 − 7x4y 4 ) + (−10x4y 3 + 6 y3 + 4x4y4 ) − (x4y 3 + 6x4y 4 )  \n−9x4y 4 − 11x4y 3 + 7 y3  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaioONWjgtMEhE","https://ap.wps.com/l/cbCaioONWjgtMEhE","pdf",41095,"English","# Simplify Each Expression\n## Polynomial subtraction and combining like terms","[{\"question\":\"What is the main task on this worksheet?\",\"answer\":\"Simplify each given polynomial expression by adding and subtracting polynomials and combining like terms.\"},{\"question\":\"How many problems are included?\",\"answer\":\"There are 30 numbered simplify-and-subtract exercises.\"},{\"question\":\"What skills do the problems practice?\",\"answer\":\"The worksheet practices expanding expressions, handling negative signs correctly during subtraction, and combining like terms across variable powers.\"}]","Adding and Subtracting Polynomials - Simplify Each Expression | PDF",1791425786]