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ГДЗ Алгебра 7 клас Тарасенкова (2024)
Роздiл 3. Одночлени i многочлени
Знайдіть добуток двочленів:
1) (у + х) • (–х – у) = –xy – y2 – x2 – xy = –x2 – y2 – 2xy;
2) (у + х) • (х + у) = xy + y2 + x2 + xy = x2 + y2 + 2xy;
3) (у + х) • (–х + у) = –xy + y2 – x2 + xy = y2 – x2;
4) (–у + х) • (х – у) = –xy + y2 + x2 – xy = x2 + y2 – 2xy;
5) (2 + х) • (2х + 1) = 4x + 2 + 2x2 + x = 2x2 + 5x + 2;
6) (х + 3) • (х + 9) = x2 + 9x + 3x + 27 = x2 + 12x + 27;
7) (–2х + 4ху) • (–х + ху) = 2x2 – 2x2y – 4x2y + 4x2y2 = 2x2 – 6x2y + 4x2y2;
8) (–ху + у2) • (2 – ху) = –2xy + x2y2 + 2y2 – xy3;
9) (х2 + 3у2) • (х2 + 2у2) = x4 + 2x2y2 + 3x2y2 + 6y4 = x4 + 5x2y2 + 6y4;
10) (2х3 + х) • (х5 – 4) = 2x8 – 8x3 + x6 – 4x;
11) (0,5 + 0,5n) • (m2 – 2n) = 0,5m2 – n + 0,5nm2 – n2;
12) (–2,5k + s) • (0,5s – 2) = –1,25ks + 5k + 0,5s2 – 2s.
1) (у + х) • (–х – у) = –xy – y2 – x2 – xy = –x2 – y2 – 2xy;
2) (у + х) • (х + у) = xy + y2 + x2 + xy = x2 + y2 + 2xy;
3) (у + х) • (–х + у) = –xy + y2 – x2 + xy = y2 – x2;
4) (–у + х) • (х – у) = –xy + y2 + x2 – xy = x2 + y2 – 2xy;
5) (2 + х) • (2х + 1) = 4x + 2 + 2x2 + x = 2x2 + 5x + 2;
6) (х + 3) • (х + 9) = x2 + 9x + 3x + 27 = x2 + 12x + 27;
7) (–2х + 4ху) • (–х + ху) = 2x2 – 2x2y – 4x2y + 4x2y2 = 2x2 – 6x2y + 4x2y2;
8) (–ху + у2) • (2 – ху) = –2xy + x2y2 + 2y2 – xy3;
9) (х2 + 3у2) • (х2 + 2у2) = x4 + 2x2y2 + 3x2y2 + 6y4 = x4 + 5x2y2 + 6y4;
10) (2х3 + х) • (х5 – 4) = 2x8 – 8x3 + x6 – 4x;
11) (0,5 + 0,5n) • (m2 – 2n) = 0,5m2 – n + 0,5nm2 – n2;
12) (–2,5k + s) • (0,5s – 2) = –1,25ks + 5k + 0,5s2 – 2s.