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1)
а) 3х²(х³-3)=3х²×х³-3х²×3=3х⁵-3х²×3=3х⁵-9х²
б)(2х-х³)(-5х⁴)=-2х×5х⁴-х³×(-5х⁴)=-10х⁵-х³×(-5х⁴)=-10х⁵+х³×5х⁴=-10х⁵+5х⁷
в) 2а(3а-а²)-4а(2а²-5а)=2а×(3а-а²-2(2а²-5а))=2а(3а-а²-4а²+10а)=2а(13а-а²-4а²)=2а(13а-5а²)=2а×а(13-5а)=2а²(13-5а)
г) -3а(а²+2ав-5в)=-3а×а²-3а×2ав-3а(-5в)=-3а³-3а×2ав-3а(-5в)=-3а³-6а²в-3а(-5в)=-3а³-6а²в+3а×5в=-3а³-6а²в+15ав
д) 4х³(ах²+а³х-2а²)=4х³ах²+4х³а³х-4х³×2а²=4ах⁵+4х³а³х-4х³×2а²=4ах⁵+4а³х⁴-4х³×2а²=4ах⁵+4а³х⁴-8а²х³
2)
а) 3х(х-2)-5х(х+3)=3х²-6х-5х²-15х=-2х²-6х-15х=-2х²-21х
б) -2х(х+4)+5(х²-3х)=-2х²-8х+5х²-15х=3х²-8х-15х=3х²-23х
в) 2а(3а-а²)-4а(2а²-5а)=6а²-2а³-8а³+20а²=26а²-2а³-8а³=26а²-10а³
г) х(2х-1)-3х(3-х)=2х²-х-9х+3х²=5х²-х-9х=5х²-10х
д) 5n²(3n-1)-2n(5n²-3)=15n³-5n²-10n³+6n=5n³-5n²+6n
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1)
а) 3х²(х³-3)=3х²×х³-3х²×3=3х⁵-3х²×3=3х⁵-9х²
б)(2х-х³)(-5х⁴)=-2х×5х⁴-х³×(-5х⁴)=-10х⁵-х³×(-5х⁴)=-10х⁵+х³×5х⁴=-10х⁵+5х⁷
в) 2а(3а-а²)-4а(2а²-5а)=2а×(3а-а²-2(2а²-5а))=2а(3а-а²-4а²+10а)=2а(13а-а²-4а²)=2а(13а-5а²)=2а×а(13-5а)=2а²(13-5а)
г) -3а(а²+2ав-5в)=-3а×а²-3а×2ав-3а(-5в)=-3а³-3а×2ав-3а(-5в)=-3а³-6а²в-3а(-5в)=-3а³-6а²в+3а×5в=-3а³-6а²в+15ав
д) 4х³(ах²+а³х-2а²)=4х³ах²+4х³а³х-4х³×2а²=4ах⁵+4х³а³х-4х³×2а²=4ах⁵+4а³х⁴-4х³×2а²=4ах⁵+4а³х⁴-8а²х³
2)
а) 3х(х-2)-5х(х+3)=3х²-6х-5х²-15х=-2х²-6х-15х=-2х²-21х
б) -2х(х+4)+5(х²-3х)=-2х²-8х+5х²-15х=3х²-8х-15х=3х²-23х
в) 2а(3а-а²)-4а(2а²-5а)=6а²-2а³-8а³+20а²=26а²-2а³-8а³=26а²-10а³
г) х(2х-1)-3х(3-х)=2х²-х-9х+3х²=5х²-х-9х=5х²-10х
д) 5n²(3n-1)-2n(5n²-3)=15n³-5n²-10n³+6n=5n³-5n²+6n