В решении.
Объяснение:
Упростить:
(4х-3)(7х+6);
4у³-(1+2у)*(2у²-у);
(8+а²-2а)*(а²+4а);
(а-2)*(а-3)*(а+1)-(а³-2а²).
1)(4х-3)(7х+6)=
=28х²+24х-21х-18=
=18х²+3х-18;
2)4у³-(1+2у)*(2у²-у)=
=4у³-(2у²-у+4у³-2у²)=
=4у³-4у³+у=
=у;
3)(8+а²-2а)*(а²+4а)=
=8а²+32а+а⁴+4а³-2а³-8а²=
=а⁴+2а³+32а;
4)(а-2)*(а-3)*(а+1)-(а³-2а²)=
=(а²-3а-2а+6)*(а+1)-(а³-2а²)=
=(а²-5а+6)*(а+1)-(а³-2а²)=
=а³+а²-5а²-5а+6а+6-(а³-2а²)=
=а³-4а²+а+6-а³+2а²=
= -2а²+а+6.
В решении.
Объяснение:
Упростить:
(4х-3)(7х+6);
4у³-(1+2у)*(2у²-у);
(8+а²-2а)*(а²+4а);
(а-2)*(а-3)*(а+1)-(а³-2а²).
1)(4х-3)(7х+6)=
=28х²+24х-21х-18=
=18х²+3х-18;
2)4у³-(1+2у)*(2у²-у)=
=4у³-(2у²-у+4у³-2у²)=
=4у³-4у³+у=
=у;
3)(8+а²-2а)*(а²+4а)=
=8а²+32а+а⁴+4а³-2а³-8а²=
=а⁴+2а³+32а;
4)(а-2)*(а-3)*(а+1)-(а³-2а²)=
=(а²-3а-2а+6)*(а+1)-(а³-2а²)=
=(а²-5а+6)*(а+1)-(а³-2а²)=
=а³+а²-5а²-5а+6а+6-(а³-2а²)=
=а³-4а²+а+6-а³+2а²=
= -2а²+а+6.