y^3-(1/8)=y^3-(1/2)^3=(y-(1/2))*(y^2+y*(1/2)+(1/2)^2)=(y-(1/2))*(y^2+(1/2)*y+(1/4))
5y-10xy=5y(1-2x)
49a^2+9b^2+42ab=(7a)^2+2*(7a)*(3b)+(3b)^2=(7a+3b)^2
4x^2-12xy+9y^2=(2x)^2-2*(2x)*(3y)+(3y)^2=(2x-3y)^2
a^9-b^3=(a^3)^3-b^3=(a^3-b)*((a^3)^2+a^3*b+b^2)=(a^3-b)*(a^6+a^3b+b^2)
0,25a^2-1=(0,5a)^2-1^2=(0,5a-1)*(0,5a+1)
1-12p+36p^2=1-2*6p+(6p)^2=(1-6p)^2
5b^3-15ab=5b(b^2-5a)
a^2-10b+25b^2 - нельзя разложить
Если опечатка и задание такое:
a^2-10[b]a[/b]b+25b^2=a^2-2*a*5b+(5b)^2=(a-5b)^2
8+a^3=(2+a)*(4-a+a^2)
a^2-6ab+9b^2=(a-3b)^2
9z^2-25=(3z-5)*(3z+5)
p^2+36-12p=(p-6)^2
y^6+2y^3+1=(y^3+1)^2
2a^5-4a^3=2a^3(a^2-2)
4x^4-12x^2+9=(2x^2-3)^2
49x^2-121a^2=(7x - 11a)(7x + 11a)
25x^2-10xy+y^2=(5x-y)^2
x^3-1000=(x-10)*(x^2+10x+100)