а) -3x^2 + 12x - 12= -3(x^2 - 4x + 4)= -3(x - 2)(x - 2)= -3(x - 2)^2
б) 15с - 15d^2= 15(c - d^2)= 15(c - d)(c + d)
в) 16m^2 - (m - n)^2= 16m^2 - (m^2 - 2mn + n^2)= 16m^2 - m^2 + 2mn - n^2= 15m^2 + 2mn - n^2
г) (y^2 + 2y) - 1= y^2 + 2y - 1
д) -5p^2 - 10pq - 5q^2= -5(p^2 + 2pq + q^2)= -5(p + q)^2
а) -3x^2 + 12x - 12
= -3(x^2 - 4x + 4)
= -3(x - 2)(x - 2)
= -3(x - 2)^2
б) 15с - 15d^2
= 15(c - d^2)
= 15(c - d)(c + d)
в) 16m^2 - (m - n)^2
= 16m^2 - (m^2 - 2mn + n^2)
= 16m^2 - m^2 + 2mn - n^2
= 15m^2 + 2mn - n^2
г) (y^2 + 2y) - 1
= y^2 + 2y - 1
д) -5p^2 - 10pq - 5q^2
= -5(p^2 + 2pq + q^2)
= -5(p + q)^2