NZ 1/ ala (X+4/+al 6 - x1 = a(x+y+Bax)=a(y+ б) 6/21-541-6(31--4) = 8(21-54-31 +91- :-B (1444). 2/a/a/6+C)/4) (B+C) = (a-x1(38407 6/ 9 (36 + C) - X (B+C) = (A-X) (38°C) 3/a) x(x - y) + C(y-x)=x(x-9)-c(x-y)=(x-C) - 6/3p (a-c) - (c-a)=3p (a-c)+(a+c)=(3+1) C NH 1/ 2/ 3Y5y² + 15x²y 3 + 12x3y² = 312y² (4-5x²y + 4y²) 6179383-77426221267=408² (a² 8-9185-3a, 2 6/5a3842-1523442-5ary = 5a²y (axy-3xy-94 2/ a./(x+5/12/a+1)+(x+5) (3-8)=(x+5)120+1+32-8)-(X+5)/54-4) 6) 15m-3)(n+1)-(29+3)(3-5m)=

№1

а) \( a(x+y)+a(b-x) = a(x+y+b-x) = a(y+b) \)

б) \( b(2x-5y)-b(3x-y) = b(2x-5y-3x+y) = b(-x-4y) = -b(x+4y) \)

№2

а) \( a(b+c)+x(b+c) = (a+x)(b+c) \)

б) \( a(3b+c)-x(b+c) = (a-x)(3b+c) \)

№3

а) \( x(x-y)+c(y-x) = x(x-y)-c(x-y) = (x-c)(x-y) \)

б) \( 3p(a-c)-(c-a) = 3p(a-c)+(a-c) = (3p+1)(a-c) \)

№4

a) \( 3y^5y^2 + 15x^2y^3 + 12x^3y^4 = 3y^7 + 15x^2y^3 + 12x^3y^4 = 3y^2(y^5 + 5x^2y + 4x^3y^2) \)

б) \( 7a^3b^3 - 7a^2b^3 - 21a^3b^4 = 7a^2b^3(a - 1 - 3ab) \)

в) \( 5a^3xy^2 - 15a^3xy^2 - 5a^4y = 5a^3y(xy - 3xy - a) \)

№5

а) \( (x+5)(2a+1) + (x+5)(3a-8) = (x+5)(2a+1+3a-8) = (x+5)(5a-7) \)

б) \( (15m-3)(n+1) - (2n+3)(3-5m) = 3(5m-1)(n+1) + (2n+3)5(5m-3) \)