1) 25x2+10x+1 a) (5x–1)2 b) 2(x–5)∙(x+5) c) (x–5)∙(x+5) d) (5x+1)2 2) 25x2–1 a) 5x∙(5–2x) b) (5x–1)∙(5x+1) c) (x–5)∙(x+5) d) (1–5x)∙(1+5x) 3) –25x2+1 a) (1–5x)∙(1+5x) b) 5x∙(5x–2) c) (5x–1)∙(5x+1) d) (x+√5)2 4) x2–25 a) (x–5)∙(x+5) b) (5x–1)∙(5x+1) c) (x+√5)∙(x–√5) d) (1–5x)∙(1+5x) 5) 2x2–50 a) 5x∙(5–2x) b) (5x+1)2 c) 2∙(x–5)∙(x+5) d) (5x–1)2 6) 25x2–10x a) 5x∙(5x–2) b) 2(x–5)∙(x+5) c) (5x–1)∙(5x+1) d) (5x–1)2 7) 25x–10x2 a) (5x–1)2 b) 5x∙(5–2x) c) (5x–2)∙(5x+2) d) (2x–5)∙(5x+2) 8) 25x2–10x+1 a) 25∙(x–1)2 b) 5x∙(5x–2) c) (5x–1)2 d) (1+5x)2 9) x2–5 a) (x+√5)2 b) (x+√5)∙(x–√5) c) (5x–1)2 d) (5x–1)∙(5x+1) 10) x+10 a) (x+√5)2 b) (x+5)∙(x–5) c) 2(x+5) d) non scomponibile 11) x2+2√5x+5 a) 2∙(x+√5)∙(x–√5) b) (1–5x)∙(1+5x) c) (x+√5)∙(x–√5) d) (x+√5)2 12) x3+3x2+3x+1 a) x2∙(3x+1) b) (x2+3)∙(x+1) c) (x+1)3 d) non scomponibile 13) x3+x2+3x+3 a) x2∙(3x+1) b) (x2+3)∙(x+1) c) (x+1)3 d) non scomponibile 14) xy–3x+2y–6 a) (x+2)∙(y–3) b) (x–2)∙(y+3) c) (x–2)∙(y–3) d) (x+y)3 15) xy+3x–2y–6 a) (x+2)∙(y–3) b) (x–2)∙(y+3) c) (x–2)∙(y–3) d) (x+y)3 16) xy–3x–2y+6 a) (x+2)∙(y–3) b) (x–2)∙(y+3) c) (x–2)∙(y–3) d) (x+y)3 17) x2y3+x3y2 a) xy2∙(x2y+1) b) x2y∙(xy2+1) c) xy∙(xy+yx) d) x2y2∙(y+x) 18) x3y3+x2y2 a) x2y2∙(xy+1) b) xy∙(x–y)∙(x+y) c) x2y2∙(y+x) d) non scomponibile 19) 27x3+54x2y+36xy2+8y3 a) x2y2∙(3x+y)∙(x+3y) b) 3∙(x2+2y)2 c) (3x+2y)2 d) (3x+2y)3 20) 27x3+y3+27x2y+9xy2 a) x2y2∙(3x+y)∙(x+3y) b) 3∙(x2+y)2 c) (3x+y)2 d) (3x+y)3

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