A^3 -b^3=(a-b)(a² +ab +b²)
a^3 +b^3=(a+b)(a² -ab +b²)
в) 2^3b^3 -5^3 = (2b -5)(4b² +10b+25)
г) 27c^3 +1000 = 3^3c^3 +10^3 =(3c +10)(9c² -30c +100)
17. в) = (mn -5)(m²n² +5mn +25)
г) =(pq +2)(p²q² +2pq +4)
31. a² -b² =(a -b)(a +b)
в) (t-7 -3t)(t-7 +3t)= (-2t -7)(4t -7)
г) 25b² -(5b -2)² = (5b -(5b -2)(5b +(5b -2) = (5b -5b+2)(10b -2) =2(10b -2)=4(5b -1)
32.
в) m +10=x, n -12=y
x² -y² =(x -y)(x +y) = (m+10 -(n-12)(m+10 +(n-12) = (m +10 -n +12)(m +10 +n -12) = (m+ 22 -n)(m -2 +n)
г) (c -1)² -(d -29)² = (c-1 -(d-29)(c-1 +(d-29) = (c -1 -d +29)(c -1 +d -29) = (c -d +28)(c +d -30)