Răspuns :
a)2×(×+3)=2x*x+3*2x=2x²+6x
b)3×(×-2)=3*x*x-2*x=3x²-6x
c)6×(×+7)=6*x*x+6*7=6x²+42x
d)5×(×-4)=5*x*x-5*4=5x²-20x
e)7×(×+5)=7*x*x+7*5= 7x²+35x
f)8×(9-×)=8*9*x-8*x*x=72x-8x²
g)4×(2×+7)=4x*2x+7*x=8x²+32x
h)6×(4×-5)=6x*4x-5*6x=2x²-30x
i)3×(2×+7)=3x*2x+3x*7=6x²+21x
j)8×(3×-7)= 8x*3x-7*8x=24x²-56x
k)9×(6×+2)=9x*6x+2*9x=54x²+18 x
l)5×(4×-3)=5x*4x-3*5x=20x²-15x
m)[tex]-3 x^{2} ( x^{2} -2x)= -3 x^{2} * x^{2} -2x*(-3 x^{2})=-3 x^{4} +6x ^{3} [/tex]
n)[tex]-5 x^{2} ( x^{2} +6x)=-5 x^{2} * x^{2} +6x*(-5 x^{2})= - 5x^{4} -30 x^{3} [/tex]
o)[tex]-4 x^{2} ( x^{2} -9x)=-4 x^{2}* x^{2} -9x*(-4 x^{2})=-4 x^{4} +36 x^{3} [/tex]
2.a)[tex]4x(2 x^{2} -5x+6)=4x*2 x^{2} -4x*5x+6*4x=8 x^{3} -20 x^{2} +24x[/tex]
b)[tex]2x( -x^{2} +3x+5)=2x*( -x^{2} )+2x*3x+5*2x=-2 x^{3} +6 x^{2} +10x[/tex]
c)[tex]-3 x^{2} (4 x^{2} +4x-7)=-3 x^{2} *4 x^{2} +4x*(-3 x^{2})-7*(-3 x^{2} )=[/tex][tex]-12 x^{4} -12 x^{3}+21 x^{2} [/tex]
d)[tex]-5 x^{2} (6 x^{2} -3x-2)=-5 x^{2} *6 x^{2} -3x*(-5 x^{2} )-2*(-5 x^{2} )=[/tex][tex]- 30x^{4} +15 x^{3} +10 x^{2} [/tex]
b)3×(×-2)=3*x*x-2*x=3x²-6x
c)6×(×+7)=6*x*x+6*7=6x²+42x
d)5×(×-4)=5*x*x-5*4=5x²-20x
e)7×(×+5)=7*x*x+7*5= 7x²+35x
f)8×(9-×)=8*9*x-8*x*x=72x-8x²
g)4×(2×+7)=4x*2x+7*x=8x²+32x
h)6×(4×-5)=6x*4x-5*6x=2x²-30x
i)3×(2×+7)=3x*2x+3x*7=6x²+21x
j)8×(3×-7)= 8x*3x-7*8x=24x²-56x
k)9×(6×+2)=9x*6x+2*9x=54x²+18 x
l)5×(4×-3)=5x*4x-3*5x=20x²-15x
m)[tex]-3 x^{2} ( x^{2} -2x)= -3 x^{2} * x^{2} -2x*(-3 x^{2})=-3 x^{4} +6x ^{3} [/tex]
n)[tex]-5 x^{2} ( x^{2} +6x)=-5 x^{2} * x^{2} +6x*(-5 x^{2})= - 5x^{4} -30 x^{3} [/tex]
o)[tex]-4 x^{2} ( x^{2} -9x)=-4 x^{2}* x^{2} -9x*(-4 x^{2})=-4 x^{4} +36 x^{3} [/tex]
2.a)[tex]4x(2 x^{2} -5x+6)=4x*2 x^{2} -4x*5x+6*4x=8 x^{3} -20 x^{2} +24x[/tex]
b)[tex]2x( -x^{2} +3x+5)=2x*( -x^{2} )+2x*3x+5*2x=-2 x^{3} +6 x^{2} +10x[/tex]
c)[tex]-3 x^{2} (4 x^{2} +4x-7)=-3 x^{2} *4 x^{2} +4x*(-3 x^{2})-7*(-3 x^{2} )=[/tex][tex]-12 x^{4} -12 x^{3}+21 x^{2} [/tex]
d)[tex]-5 x^{2} (6 x^{2} -3x-2)=-5 x^{2} *6 x^{2} -3x*(-5 x^{2} )-2*(-5 x^{2} )=[/tex][tex]- 30x^{4} +15 x^{3} +10 x^{2} [/tex]