1) а) 25a²-40ab²+16b⁴
б) 27a³-8b³
2) а) (5a-3b²)(5a+3b²)
б) -3(x⁴-2x²+1)= -3(x²-1)²= -3(x²-1)(x²-1)= -3(x-1)(x+1)(x-1)(x+1)= -3(x-1)²(x+1)²
3) 25x²-30x+9=16x²-24x+9+9x²+3
-30x+9=-24x+12
-6x=3
x= -0,5
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Verified answer
1) а) 25a²-40ab²+16b⁴
б) 27a³-8b³
2) а) (5a-3b²)(5a+3b²)
б) -3(x⁴-2x²+1)= -3(x²-1)²= -3(x²-1)(x²-1)= -3(x-1)(x+1)(x-1)(x+1)= -3(x-1)²(x+1)²
3) 25x²-30x+9=16x²-24x+9+9x²+3
-30x+9=-24x+12
-6x=3
x= -0,5