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Date________________ Period____  \nFactor each completely.  \n1) 16n2 − 9 2) 4m2 − 25  \n3) 16b2 − 40b + 25 4) 4x2 − 4x + 1  \n5) 9x2 − 1 6) n 2 − 25  \n7) n4 − 100 8) a4 − 9  \n9) k4 − 36 10) n4 − 49  \n11) 98n2 − 200 12) 3 + 6b + 3b2  \n13) 400 − 36v2 14) 100x2 + 180x + 81  \n15) 10n2 + 100n + 250 16) 49n2 − 56n + 16  \n17) 49x2 − 100 18) 1 − r2  \n19) 10 p3 − 1960 p 20) 343b2 − 7b4  \n21) 81v4 − 900v2 22) 200m4 + 80m3 + 8m2  \nKuta Software-Infinite Algebra 1 Factoring Special Cases  \nFactor each completely.  \n1) 16n2 − 9  \n(4n + 3)(4n − 3)  \nName___________________________________  \nDate________________ Period____  \n2) 4m2 − 25  \n(2m + 5)(2m − 5)  \n3) 16b2 − 40b + 25 4) 4x2 − 4x + 1  \n(4b − 5)2 (2x − 1)2  \n5) 9x2 − 1 6) n 2 − 25  \n(3x + 1)(3x − 1) (n + 5)(n − 5)  \n7) n4 − 100 8) a4 − 9  \n(n2 + 10)(n2 − 10) (a2 + 3)(a2 − 3)  \n9) k4 − 36 10) n4 − 49  \n(k2 + 6)(k2 − 6) (n2 + 7)(n2 − 7)  \n11) 98n2 − 200 12) 3 + 6b + 3b2  \n2(7n + 10)(7n − 10) 3( 1 + b)2  \n13) 400 − 36v2 14) 100x2 + 180x + 81  \n4( 10 + 3v)(10 − 3v) ( 10x + 9)2  \n15) 10n2 + 100n + 250 16) 49n2 − 56n + 16  \n10(n + 5)2 (7n − 4)2  \n17) 49x2 − 100 18) 1 − r2  \n(7x + 10)(7x − 10) ( 1 + r)(1 − r)  \n19) 10 p3 − 1960 p 20) 343b2 − 7b4  \n10 p( p + 14)( p − 14) 7b2 (7 + b)(7 − b)  \n21) 81v4 − 900v2 22) 200m4 + 80m3 + 8m2  \n9v2 (3v + 10)(3v − 10) 8m2 (5m + 1)2  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaib3QdjUVWSI9","https://ap.wps.com/l/cbCaib3QdjUVWSI9","pdf",31421,"English","# Factoring Special Cases\n## Factor each completely","[{\"question\":\"What does the worksheet ask students to do with each problem?\",\"answer\":\"Students must factor each given algebraic expression completely.\"},{\"question\":\"How are the expressions presented on the worksheet?\",\"answer\":\"The sheet lists multiple numbered expressions (e.g., 16n2 − 9, 4m2 − 25, 4x2 − 4x + 1) and requires rewriting them into fully factored forms.\"},{\"question\":\"What kinds of factoring patterns are used in the problems?\",\"answer\":\"The problems include common special-case structures such as difference of squares and perfect-square forms, including squared binomials and factorizations of higher powers.\"}]","Factoring Special Cases - Factor each completely | PDF",1791425833]