9.5　多项式的因式分解　专项训练100道　2023—2024学年苏科版数学七年级下册

七年级下册 多项式的因式分解 100道专项训练 ①提取公因式 ②平方差公式 ③完全平方公式 ④分组分解法 十字相乘法 多项式的因式分解 100道专项训练 (1) -3a2+6ab-3b2} (2) 9(x-v)+4b}(y-x) (3) 5mx?-10mxy+5my} (4) (5) (x-y) -4(x-y) a(3a-2)+b(2-3 (6) -2x+12x-18 (7) (8) 4a?(x-y)+9b{?(y-$x) $5x2+10x+5 (9) x2y-4y (10) (11) (-b){}+4ab (a+2)(a-2)+3a (12)-mx2+12mx-36m (13)m3-9m (14)(x-y)?-(x+y)(x-y) (15) 16x4-1 (16) (17) $5-10x+5 3ax2+6axy +3ay} (18) (p-4)(p+1)+3 4xy?-4x?y-y3 (20) (19) $8á b{}+12ab } (21) a-2a{}+a (22) (23)4a^-9 (24) ($+){}-(x+2 )2} 4a(b-a)-b}$$$ $5 -4x2+4xy-y?} (25) (26) (}+1)2-4a} (27) n?(m-2)-n(2-m) (28) (29) 3x+12x}+12$ (x-1)(x-3)+1 (30)x4y2-r2z} (32) (31) 2x2-5xm-3$ (33) ($-3)-4x} (34) a^-2a+b2-2b+2ab+1 (35) ($x-)(x2}+3xy+)-5xy(x-) m (36) ($a-3b)2-4c2+12ab (37) (+v)(5m+3n){-(x+v)(m-n) (38) (39) (+6)2}+18({}+6a)+8 r2-4x-2+4 (41)2-7y+12 (40) n(m-2)+(2-m) (42)x--2-2y (43)(a}+9)*-36a} (44) -8ax?+16 axy-8ay} (45)1-x2+2xy-y} (46) (47) a}+2ab+2ac+(b+c)} 12xy2-6x22 (48) -+5x-6x (50) (a+b)}-12(a+b)+36 (49) 4x-4x-2+4y-3 (51)x{+x2y-xy-y3 4 ($52) 4x+4xy+-4x-2-3 ($53) 2-x+-1 (54) a2-b^2-2a+2b$$ $56) a{-2ab+b^{}- (55) *y-10x2}y+25xy (57) 9m^{}+6m+1-} $58) a}+2ab+b}-2-2xy-2} (59) am+an-m-1 (60) x3+x2+x+1 (61) (62) ($-2)^}-3(x-2y)+ (x-v)-2x+2y+1 (63) -2xy++10x-10 y+25 (64) 9m}+6m+1-3(3m+l) (65) x2y-y-x21 $$66) x2-x+3y-3x 1n (68) $m$}-22m+15 (69) x&-18x-+8$1 (70) (71)^-4a+3 ($a-b)(3a+b){}+(a+3b){(b- (73)x2+3x-4 (74) (72) $$a(x-v){②-4b(y-)} 4x-16×3 (76) 5x2+6xy-8y} (75) $5x2+7x-6$ (77) 2x-5xy+2y} (78) (79) 10x2-21xy+2y} $$a$}$b$}+23ab-1$$ (80) 8m}-22mn+15n2} (81) 6x}+x-35 (82) $$62-5$-6$ (83)2x-xy-} (84)(a+3a-2)(a}+3a+4)-16 (85) r2+2xy-63y} (87) $x2-7x-3 (86) (m}+1)}+3(m}+1)-4$0 (88)x2-3xy+2y} (89)x2-(2m+1)x+m(m+l) (90) mx2-(m+1)x+1 (91)×2-3x-4 (92) (93) 3x2}+2ax-a} 3x*}+5x-2 (94) 2x}+x-m(2m+l) (95) (96) x4-7x2+6 -5x-36$ (97) 4x4-65x}+16y4 (98) (99) $a-7a62}-86$ 6a*-5a3-4a} (100) $$a& -37a b$}+9$$ N 参考答案 8 ($1) 原式=-3(a^}-2 ab+b})=-3(a6-$}$ (2) 原式=(x-v)(3a+2b)(3a-2b (3) 原式=5m(x}-2xy+y})=5m(x-} (4) 原式=a(3a-2)-(3a-2)b=(3a-2)(a-b) (5)原式=(x-y)