Решите примеры а б в г (х + у)² = x²+2xy+y² 2a(3b +5)= 6ab+10a (x + 3)(x +1)= x2+4x+3 (b – c)(b + c)=b²-c² (a – 5)2= 2a-10 (m-n)(m2 + mn +n2)= m3-n3 (p-g)²=p2-2gp+g2 (c+8)(c+2)= -a(b + 3) (6 + x) 2 (y+4)(y-4) (x+y)(x2–xy +y2) (в + 3)² (m-) (m-11)(m+2) (x-2)(x+2) (7-x) 2 (1+2k)(1-2k+4k2) (у - 9)²
(2x-y)(2x+y) (4-x)(16+4x+x2) -x(2x+5) (a-3b)(3b+a) (2m+1) 2 (b + 6) 2= b2+12b+36 a(3a2+ a)= 3a3+a2 (p2– pq +q2)(p + q)=p3+q3 (1-p)(p+1)=1-p2 (n-3)(n-10)=n2-13n+30 b(2b3 – 7) (m -11)(m -2) (2x+3y) 2 (2x-1)(1+ 2x) (a2+ b2+ab)(a-b) 4m3 (n-5m) (a-1)(a2 +a +1) (a+b)(2a – 3b) (2b+c)(c -2b) (6 – 5m) 2
(8x-7) 2 (7a-2)(a-3) (4a+5b)(16a2-20ab+25b2) -5p2 (2p4-3) (1+a)(a-1) (1-m)(1 +m + m2)=1-m3 (-a-)=ad+4cd2 (3m– 2k)(2k+3m)=9m2-4k2 (-3 –x)(x+1)=x2-4x-3 (2a -7b) 2=4a2-28ab+49b2 (y-5)(y+6) (3y + 2) 2 (a2 +3)(3-a2) -x(2x +5) (x+4)(x2 – 4x +16) (2a-1)(4a2+2a+1) (2k-) (x 2–a)(2 +x) (7x +4) 2 (y-a2)(y+a2)
(5p-2) 2 (0,5b+10c)(10c-0,5b) m(1-m) (3a+2)(9a2-6a+4) (2y2-3)(y2+2) (2y -2)(4 –y)=-8a-2ay-8+2y 2a(3a -2)=6a2-4a (0,1x-0,9)(0,1x+0,9) (2x + 0,2y) 2= (2 + k)3=k3+6k2+12k+8 (2a-9b)(2a +9b) -3c 2 (2c-1) (a -1)(a+3) (-7k +1) 2 (m– 0,3) 3 (2b+3)(3b-2) (b -2a)5ab (a2-4)(a2+4) (2a-3) 2 (10-a) 3 (6x+1) 2
(5x-c)(x-5c) -4x3 (x 2–a) (x3+5)(5-x3) (p+3) 3 № 5. разложить на множители (различные а б в г x2 -16 5y-10xy 49a2+9b2+42ab 4x2-12xy+9y2 125-а³ a2 +2ab+1 m3-n3 25 – a2 y2 +10y+25 -4,5ay-9by 4 -4x+x2 10x-25y -16y2-12y k2– 6,25 b3 – 125 7n – 14 900 –p2 100m2 -100m+25 64 – x3 m9 –n3 a9 – b3
0,25a2 – 1 1 -12p+36p2 5b3 – 15ab a2 – 10b +25b2 16x2+81y2-72xy x3 – 1 4x2 -9 x2y +xy2 1,21b2+4,4bc+4c2 6x2 +3,6x 40c+16+25c2 c3 – c4+2c5 1 +b³ 2,4ab+0,16a2+9b2 x3 – x 1 +c3 -5x5 -15x3 9m2 – 6m+1 a2 – 0,04 8 +a3 a2 – 6ab+9b2 9z2 -25 p2 +36 -12p y6 +2y3 +1 144y2-16k2 9a2+24ab+16b2 m3 +27 ax2 +3ax
81+m2+18m p3 +k9 1 -6c2+9c4 18ab3-9b4 0,36m2-25n2 p²- а²b² 58x -29y 36a2 – 49 x2 – 9y2 8ab – 6ac 16-8ab+a2b2 2a5 -4a3 4x4-12x2+9 49x2 – 121a2 25x2-10xy+y2 x3– 1000 100a2 – 25b2 4-20c+25c2 a3 – 8b3 27m3+1 m2 -16m+64 c3 +64 m4 +2m2n3+n6 0,64 -4k2 3m2 +9m3 25a2+49+70a 5x2+3x 9+6a2b+a4b2 7x2 – 0,28x
-49а² + 16b² 81а²-18аb+b² а б в г (х + у)² 2a(3b +5) (x + 3)(x +1) (b – c)(b + c) (a – 5)2 (m-n)(m2 + mn +n2) a2 +2ab+1 m3-n3 25 – a2 y2 +10y+25 -4,5ay-9by (в + 3)² (m-) (m-11)(m+2) (x-2)(x+2) (7-x) 2 (1+2k)(1-2k+4k2) 7n – 14 900 –p2 100m2 -100m+25 64 – x3 m9 –n3 (b + 6) 2 a(3a2+ a) (p2– pq +q2)(p +
q) (1-p)(p+1) (n-3)(n-10) 16x2+81y2-72xy x3 – 1 4x2 -9 x2y +xy2 1,21b2+4,4bc+4c2 6x2 +3,6x 40c+16+25c2 c3 – c4+2c5 1 +b³ 2,4ab+0,16a2+9b2 (8x-7) 2 (7a-2)(a-3) (4a+5b)(16a2-20ab+25b2) -5p2 (2p4-3) (1+a)(a-1) 8 +a3 a2 – 6ab+9b2 9z2 -25 p2 +36 -12p y6 +2y3 +1 (y-5)(y+6) (3y + 2) 2 (a2 +3)(3-a2) -x(2x
+5) (x+4)(x2 – 4x +16) p3 +k9 1 -6c2+9c4 18ab3-9b4 0,36m2-25n2 p²- а²b² (5p-2) 2 (0,5b+10c)(10c-0,5b) m(1-m) (3a+2)(9a2-6a+4) (2y2-3)(y2+2) 2a5 -4a3 4x4-12x2+9 49x2 – 121a2 25x2-10xy+y2 x3– 1000 (2a-9b)(2a +9b) -3c 2 (2c-1) (a -1)(a+3) (-7k +1) 2 (m– 0,3) 3 (2b+3)(3b-2) (b -2a)5ab (a2-4)(a2+4)
(2a-3) 2 (10-a) 3 5x2+3x 9+6a2b+a4b2 7x2 – 0,28x -49а² + 16b² 81а²-18аb+b² некоторые уже решены

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