1. а) 3(а+2) + b(a+2) = (a+2)(3+b)
б) 4f(5m-3n) - 5k(5m-3n) = (5m-3n)(4f-5k)
в) 5m(a-3b)+a-3b = 5m(a-3b)+1(a-3b) = (a-3b)(5m+1)
г) 5m(a-3b)-a+3b = 5m(a-3b)-1(a-3b) = (a-3b)(5m-1)
2. а) 3а+6+ab+2b = 3(a+2)+b(a+2) = (a+2)(3+b)
б) 20fk-12fn-25km+15mn = 4f(5k-3n)-5m(5k-3n) = (5k-3n)(4f-5m)
в) аb+ac+af+b+c+f = ab+b+ac+c+af+f = b(a+1)+c(a+1)+f(a+1) = (a+1)(b+c+f)
г) х⁵+х⁴+х³+х²+х+1 = х⁴(х+1)+х²(х+1)+1(х+1) = (х+1)(х⁴+х²+1)
1. а) 3(а+2) + b(a+2) = (a+2)(3+b)
б) 4f(5m-3n) - 5k(5m-3n) = (5m-3n)(4f-5k)
в) 5m(a-3b)+a-3b = 5m(a-3b)+1(a-3b) = (a-3b)(5m+1)
г) 5m(a-3b)-a+3b = 5m(a-3b)-1(a-3b) = (a-3b)(5m-1)
2. а) 3а+6+ab+2b = 3(a+2)+b(a+2) = (a+2)(3+b)
б) 20fk-12fn-25km+15mn = 4f(5k-3n)-5m(5k-3n) = (5k-3n)(4f-5m)
в) аb+ac+af+b+c+f = ab+b+ac+c+af+f = b(a+1)+c(a+1)+f(a+1) = (a+1)(b+c+f)
г) х⁵+х⁴+х³+х²+х+1 = х⁴(х+1)+х²(х+1)+1(х+1) = (х+1)(х⁴+х²+1)