Назад
ГДЗ Математика 7 клас Істер (2024)
Тема 5. МНОГОЧЛЕН
Спростіть вираз (n – натуральне число):
1) xn+3(xn+4 – x) – x2n+7 = x2n+7 – хn+4 – х2n+7 = –хn+4;
2) yn(yn+2 – yn – y2) – y2(y2n – yn) = y2n+2 – y2n – y2+n – y2n+2 + y2+n = –y2n;
3) zn(z2 – 1) – z2(zn + 2) – 2(zn – z2) = zn+2 – zn – zn+2 – 2z2 – 2zn + 2z2 = –3zn.
1) xn+3(xn+4 – x) – x2n+7 = x2n+7 – хn+4 – х2n+7 = –хn+4;
2) yn(yn+2 – yn – y2) – y2(y2n – yn) = y2n+2 – y2n – y2+n – y2n+2 + y2+n = –y2n;
3) zn(z2 – 1) – z2(zn + 2) – 2(zn – z2) = zn+2 – zn – zn+2 – 2z2 – 2zn + 2z2 = –3zn.