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2b⁵-16b² = 2b²(b³-8) = 2b²(b-2)(b²+2b+4)
x²-4xy+4y²+2x-4y = (x-2y)² +2(x-2y) = (x-2y)(x-2y+2)
3a-81a⁴ = 3a(1-27a³) = 3a(1-3a)(1+3a+9a²)
9x²+6xy+y²-6x-2y = (3x+y)² - 2(3x+y) = (3x+y)(3x+y-2)
28x³+3x²+3x+1 = 27х³ + (х+1)³=(3х+х+1)(9х²-3х²-3х+х²+2х+1)=(4х+1)(7х²-х+1)
x²+4x-y²-2x+3 = тут невозможно разложить
2x³-3x²+3x-1 = х³ + (х-1)³ = (х+х-1)(х²-х²+х+х²-2х+1) = (2х-1)(х²-х+1)
x²+2x-y²-6y-8 = (х²+2х+1) - (у²+6у+9) = (х+1)² - (у+3)² = (х-у-2)(х+у+4)
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3.
4.
5.
=
6.
7.
=
8.
2b⁵-16b² = 2b²(b³-8) = 2b²(b-2)(b²+2b+4)
x²-4xy+4y²+2x-4y = (x-2y)² +2(x-2y) = (x-2y)(x-2y+2)
3a-81a⁴ = 3a(1-27a³) = 3a(1-3a)(1+3a+9a²)
9x²+6xy+y²-6x-2y = (3x+y)² - 2(3x+y) = (3x+y)(3x+y-2)
28x³+3x²+3x+1 = 27х³ + (х+1)³=(3х+х+1)(9х²-3х²-3х+х²+2х+1)=(4х+1)(7х²-х+1)
x²+4x-y²-2x+3 = тут невозможно разложить
2x³-3x²+3x-1 = х³ + (х-1)³ = (х+х-1)(х²-х²+х+х²-2х+1) = (2х-1)(х²-х+1)
x²+2x-y²-6y-8 = (х²+2х+1) - (у²+6у+9) = (х+1)² - (у+3)² = (х-у-2)(х+у+4)