proszę o rozwiązanie zadań z załącznika
5.
e)(4x+0,5)(2x-4)=8x²-16x+x-2=8x²-15x-2
g)(x²+2)(x-1)=x³-x²+2x-2
f)(x²-1)(x+6)=x³+6x²-x-6
6.
a)(x-2)(x+3)(x-1)=x²+3x-2x-6=(x²+x+6)(x-1)=x³-x²+x²-x+6x-6=x³+5x-6
b)(2x+1)(x-3)(x+5)=2x²-6x+x-3=(2x²-5x-3)(x+5)=2x³+10x²-5x²-25x-3x-15=2x³+5x²-28x
c)(2x+1)(3x-2)x=6x²-4x+3x-2=(6x²-x-2)x=6x³-x²-2x
d)2x²(4x-1)(x+2)=4x²+8x-x-2=(4x²+7x-2)2x²=8x⁴+14x³-4x²
e)(x²-x+5)(x²+4)=x⁴+4x²-x³-4x+5x²+20=x⁴+9x²-x³-4x
f)x²(x+1)(x-3)=x²-3x+x-3=(x²-2x-3)x²=x⁴-2x³-3x²
g)4x(x²-1)(x+4)=(x³+4x²-x-4)4x=4x⁴+16x³-4x²-16x
h)-3x³(x+1)(x-1)=-3x³(x²-1)=3x⁵+3x³
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5.
e)(4x+0,5)(2x-4)=8x²-16x+x-2=8x²-15x-2
g)(x²+2)(x-1)=x³-x²+2x-2
f)(x²-1)(x+6)=x³+6x²-x-6
6.
a)(x-2)(x+3)(x-1)=x²+3x-2x-6=(x²+x+6)(x-1)=x³-x²+x²-x+6x-6=x³+5x-6
b)(2x+1)(x-3)(x+5)=2x²-6x+x-3=(2x²-5x-3)(x+5)=2x³+10x²-5x²-25x-3x-15=2x³+5x²-28x
c)(2x+1)(3x-2)x=6x²-4x+3x-2=(6x²-x-2)x=6x³-x²-2x
d)2x²(4x-1)(x+2)=4x²+8x-x-2=(4x²+7x-2)2x²=8x⁴+14x³-4x²
e)(x²-x+5)(x²+4)=x⁴+4x²-x³-4x+5x²+20=x⁴+9x²-x³-4x
f)x²(x+1)(x-3)=x²-3x+x-3=(x²-2x-3)x²=x⁴-2x³-3x²
g)4x(x²-1)(x+4)=(x³+4x²-x-4)4x=4x⁴+16x³-4x²-16x
h)-3x³(x+1)(x-1)=-3x³(x²-1)=3x⁵+3x³