Объяснение:
1.
1). 11m²-11=11(m²-1)=11(m-1)(m+1)
2). 6a²-6a=6a(a-1)
3). 5x³-5xy²=5x(x²-y²)=5x(x-y)(x+y)
4). -8a⁵+8a²-2a=-2a(4a⁴-4a+1)
5). 5a³-40b⁶=5(a³-8b⁶)=5(a-2b²)(a²+2ab²+4b⁴)
2.
1) x²+2xy+y²-49=(x+y)²-7²=(x+y-7)(x+y+7)
3) a³+8-a²-2a=(a+2)(a²-2a+4)-a(a+2)=(a+2)(a²-2a+4-a)=(a²-3a+4)(a+2)
Объяснение:
1.
1). 11m²-11=11(m²-1)=11(m-1)(m+1)
2). 6a²-6a=6a(a-1)
3). 5x³-5xy²=5x(x²-y²)=5x(x-y)(x+y)
4). -8a⁵+8a²-2a=-2a(4a⁴-4a+1)
5). 5a³-40b⁶=5(a³-8b⁶)=5(a-2b²)(a²+2ab²+4b⁴)
2.
1) x²+2xy+y²-49=(x+y)²-7²=(x+y-7)(x+y+7)
3) a³+8-a²-2a=(a+2)(a²-2a+4)-a(a+2)=(a+2)(a²-2a+4-a)=(a²-3a+4)(a+2)