Решение смотри в приложении
1)6a-9b= 3(2a-3b)
2)4x-xy=x(4-y)
3)5ab-5ac=5a(b-c)
4)3m²-6mn=3m(m-2n)
5)a^7+a⁴=a⁴(a³+1)
A) a³-64=(a-64)(a²+a+64)
б) 27c³-1000=(3c-1000)(3c²+3c-1000)
в) 27р³-8k³=(27p-8k)(27p²-216pk-8k²)
г) -125
+1=(-5a³)²+1=(-5a³+1)(-5a³-1)=(-5a+1)(-5a²-5a+1)(-5a-1)(-5a²-5a+1)
д) 216-0,001q³=(216-0,1q)(0,1q²+0,1-216)
1) log(√7)(1/7)+3^log₃7=log(7^(1/2)7⁻¹+7=-2log₇7+7=-2+7=5.
2) √(25^(1/log⁶5)+49^(1/log₈7))=√(5^2log₅6+7^2log₇8)=
=√(5^log₅6²+7^log₇8²)=√(6²+8²)=√100=10.
3) 10^(1-lg5)=10*10^(-lg5)=10/10^lg5=10/5=2.
4) log(c)(16c²)=log(c)4⁴+log(c)c²=4log(c)2+2=4*(-3)+2=-10.