Объяснение:
25m⁶-n²=(5m³)²-n²=(5m³+n)(5m³-n).
-144+p²=p²-12²=(p-12)(p+12).
81a²-18ab+b²=(9a)²-2*9a*b+b²=(9a-b)².
x²+1-2x=x²-2x+1=(x-1)².
x²-(2/3)*x+(1/9)=x²-2*x*(1/3)+(1/3)²=(x-(1/3))².
b³+27=b³+3³=(b+3)(b²-3b+9).
p⁴-16=(p²)²-4²=(p²-4)(p²+4)=(p²-2²)(p²+4)=(p-2)(p+2)(p²+4).
3a³-27a=3a*(a²-9)=3a*(a²-3²)=3a*(a-3)*(a+3).
(a+x)²-1=(a+x)²-1²=(a+x-1)(a+x+1).
Объяснение:
25m⁶-n²=(5m³)²-n²=(5m³+n)(5m³-n).
-144+p²=p²-12²=(p-12)(p+12).
81a²-18ab+b²=(9a)²-2*9a*b+b²=(9a-b)².
x²+1-2x=x²-2x+1=(x-1)².
x²-(2/3)*x+(1/9)=x²-2*x*(1/3)+(1/3)²=(x-(1/3))².
b³+27=b³+3³=(b+3)(b²-3b+9).
p⁴-16=(p²)²-4²=(p²-4)(p²+4)=(p²-2²)(p²+4)=(p-2)(p+2)(p²+4).
3a³-27a=3a*(a²-9)=3a*(a²-3²)=3a*(a-3)*(a+3).
(a+x)²-1=(a+x)²-1²=(a+x-1)(a+x+1).