Ябуду вам ну ! разложить многочлен на множители: 1)-a^2+2ab-b^2; 2) 1/3х^2+2/3х+1/3; 3) ax-2a^2x^2+a^3x^3; 4) 4-x^2-2xy-y^2; 5) m^6-1+2m^2-m^4; 6) (2++m)^2-(2+m)^3; 7) (m-n)p^2-2p(m-n)+(m-n); 8) (x-y)z^2+2z(y-x)+(x-y); 9) x(x-y)+y(y-x)-y^2; 10) 16+2(m+n-2)-n(m+n-2)-m(m+n-2); 11) (3-x)^2-(x+4)^2=7; 12) (1-3x)^2-12=(3x+5)^2; 13) (3-x^2)^2-(5-x^2)^2=0
2)(1+2x+x^2(приводим к общему знаменателю))/3x^2=((x+1)(x+1))/3x^2
3)ax(1-2ax+a^2x^2)=ax(1-a^2x^2)(1-a^2x^2)
4)4-(x^2+2xy+y^2) = 4-(x+y)^2=(2-x-y)(2+x+y)
5)
6)
7)(m-n)(p^2-2p+1)=(m-n)(p-1)(p-1)
8)(x-y)z^2 - 2z(x-y) + (x-y) = (x-y)(z^2-2z+1)=(x-y)(z-1)(z-1)
9)(x-y)(x-y) - y^2=(x-y)^2 - y^2=(x-y-y)(x-y+y)=x(x-2y)
10)16+(m+n-2)(2-n-m)=16-(m+n-2)^2=(4-m-n+2)(4+m-n-2)=(6-m-n)(2+m-n)
11)(3-x-x-4)(3-x+x+4)=7
-(2x+1)*7=7
2x+1=-1
2x+2=0
2(x+1) = 0
12)1-6x+9x^2-12=9x^2+30x+25
-11-6x-30x-25=0
-36x-36=0
-36(x+1) = 0
13)(3-x^2-5+x^2)(3-x^2+5-x^2) = 0
-2(8-2x^2) = 0
-4(4-x^2) = 0
-4(2-x)(2+x) = 0