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(2x⁴-3x²+x³+2)(x³-2x²+3x)=
2x⁷-4x⁶+6x⁵-3x⁵+6x⁴-9x³+x⁶-2x⁵+3x⁴+2x³-4x²+6x=
2x⁷-3x⁶+x⁵+9x⁴-7x³-4x²+6x
b)
(x⁵-2x³+4)(2x³+2x²-3x+1)=
2x⁸+2x⁷-3x⁶+x⁵-4x⁶-4x⁵+6x⁴-2x³+8x³+8x²-12x+4=
2x⁸+2x⁷-7x⁶-3x⁵+6x⁴+6x³+8x²-12x+4
c)
(2x⁴-3x²+1)(x²-1)(2x+1)=
4x⁷+2x⁶-4x⁵-2x⁴-6x⁵-3x⁴+6x³+3x²+2x³+x²-2x-1=
4x⁷+2x⁶-10x⁵-5x⁴+8x³+4x²-2x-1
2x⁷-4x⁶+6x⁵-3x⁵+6x⁴-9x³+x⁶-2x⁵+3x⁴+2x³-4x²+6x = 2x⁷-3x⁶+x⁵+9x⁴-7x³-4x²+6x
b) (x⁵-2x³+4)(2x³+2x²-3x+1) =
2x⁸+2x⁷-3x⁶+x⁵-4x⁶-4x⁵+6x⁴-2x³+8x³+8x²-12x+4 = 2x⁸+2x⁷-7x⁶-3x⁵+6x⁴+6x³+8x²-12x+4
c) (2x⁴-3x²+1)(x²-1)(2x+1) =
(2x⁴-3x²+1)(2x³+x²-2x-1) = 4x⁷+2x⁶-4x⁵-2x⁴-6x⁵-3x⁴+6x³+3x²+2x³+x²-2x-1 =
4x⁷+2x⁶-10x⁵-5x⁴+8x³+4x²-2x-1
(2x⁴-3x²+x³+2)(x³-2x²+3x) =
2x⁷-4x⁶+6x⁵-3x⁵+6x⁴-9x³+x⁶-2x⁵+3x⁴+2x³-4x²+6x =
2x⁷-3x⁶+x⁵+9x⁴-7x³-4x²+6x
b)
(x⁵-2x³+4)(2x³+2x²-3x+1) =
2x⁸+2x⁷-3x⁶+x⁵-4x⁶-4x⁵+6x⁴-2x³+8x³+8x²-12x+4 =
2x⁸+2x⁷-7x⁶-3x⁵+6x⁴+6x³+8x²-12x+4
c)
(2x⁴-3x²+1)(x²-1)(2x+1) =
(2x⁶-2x⁴-3x⁴+3x²+x²-1)(2x+1) =
4x⁷+2x⁶-4x⁵-2x⁴-6x⁵-3x⁴+6x³+3x²+2x³+x²-2x-1 =
4x⁷+2x⁶-10x⁵-5x⁴+8x³+4x²-2x-1