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ГДЗ Алгебра 7 клас Істер (2024)
2. ЦІЛІ ВИРАЗИ
Реклама:
Перетворіть добуток на многочлен:
1) 4ху(х2 – 2ху – у2) = 4ху • x2 – 4ху 2ху – 4ху • у2 = 4х3у – 8х2у2 – 4ху3;
2) –а2b(ab2 – b2 + а2) = – а2b • ab2 + (–a2b) (–b2) + (–а2b) • а2 = – а3b3 + a2b3 – а4b;
3) (2mn – 3m2 – 5n2) • (–4m2) = 2mn • (–4m2) – 3m2 • (–4m2) – 5n2 • (–4m2) = –8m3n + 12m4 + 20m2n2;
4) (–2х2у +3хy – x2) • xy2 = –2х2у • ху2 + 3ху • xy2 – x2 • xy2 = –2x3у3 + 3x2y3 – x3у2;
5) (2,8a2b – 3,7a3b – 0,8b) • 10аb2 = 2,8a2b • 10ab2 – 3,7a3b • 10ab2 – 0,8b • 10ab2 = 28a3b3 – 37а4b3 – 8ab3;
6) –1,8a2b6(5a2b – 1,5a – 2b3) = –1,8a2b6 • 5a2b + (–1,8а2b6 ) • (–1,5а) + (–1,8а2b6) • (–2b3) = –9а4b7 + 2,7a3b6 + 3,6a2b9.
1) 4ху(х2 – 2ху – у2) = 4ху • x2 – 4ху 2ху – 4ху • у2 = 4х3у – 8х2у2 – 4ху3;
2) –а2b(ab2 – b2 + а2) = – а2b • ab2 + (–a2b) (–b2) + (–а2b) • а2 = – а3b3 + a2b3 – а4b;
3) (2mn – 3m2 – 5n2) • (–4m2) = 2mn • (–4m2) – 3m2 • (–4m2) – 5n2 • (–4m2) = –8m3n + 12m4 + 20m2n2;
4) (–2х2у +3хy – x2) • xy2 = –2х2у • ху2 + 3ху • xy2 – x2 • xy2 = –2x3у3 + 3x2y3 – x3у2;
5) (2,8a2b – 3,7a3b – 0,8b) • 10аb2 = 2,8a2b • 10ab2 – 3,7a3b • 10ab2 – 0,8b • 10ab2 = 28a3b3 – 37а4b3 – 8ab3;
6) –1,8a2b6(5a2b – 1,5a – 2b3) = –1,8a2b6 • 5a2b + (–1,8а2b6 ) • (–1,5а) + (–1,8а2b6) • (–2b3) = –9а4b7 + 2,7a3b6 + 3,6a2b9.