1)__a³-1__ = _(a-1)(а²+а+1)_ = а-1
a²+a+1 а²+а+1
2)__m²+mn+n²__ = _m²+mn+n²_____ = __1__
m³-n³ (m-n)(m²+mn+n²) m-n
3)__5b²+10bc+5c²__ = __5(b²+2bc+c²)__ = _5(b+c)²___ = _b+c_ = _b+c_
10b²-10c² 10(b²-c²) 10(b+c)(b-c) 2(b-c) 2b2c
4)__a³+b³__ = _(a+b)(a²-ab+b²)_ = a+b
a²-ab+b² a²-ab+b²
5)__m²-2mn+4n²__ = _m²-2mn+4n²_______ = __1__
m³+8n³ (m+2n)(m²-2mn+4n²) m+2n
6)_b³+1_ = _(b+1)(b²-b+1)_ = _b²-b+1_
b²-1 (b-1)(b+1) b-1