Раскройте скобки 1) (t+m) ^2 = 2) (t-3) ^2 = 3) (2t+1) ^2 = 4) (3m-2t) ^2 = 5) (p+q) ^2 = 6) (p-8) ^2 = 7) (7y-1) ^2 = 8) (6p+5g) ^2 =

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Математика

27 июля, 13:35

Раскройте скобки 1) (t+m) ^2 = 2) (t-3) ^2 = 3) (2t+1) ^2 = 4) (3m-2t) ^2 = 5) (p+q) ^2 = 6) (p-8) ^2 = 7) (7y-1) ^2 = 8) (6p+5g) ^2 =

+5

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Треш · Answer 1

Решение.

1) (t + m) ^2 = t ^2 + 2tm + m ^2;

2) (t - 3) ^2 = t ^2 - 2 * 3 * t + 3 ^2 = t ^2 - 6t + 9;

3) (2t + 1) ^2 = (2t) ^2 + 2 * 2t * 1 + 1 ^2 = 4t ^2 + 4t + 1;

4) (3m - 2t) ^2 = (3m) ^2 - 2 * 2t * 3m + (2t) ^2 = 9m^2 - 12mt + 4t ^2;

5) (p + q) ^2 = p ^2 + 2pq + q ^2;

6) (p - 8) ^2 = p ^2 - 2 * 8 * p + 8 ^2 = p ^2 - 16p + 64;

7) (7y - 1) ^2 = (7y) ^2 - 2 * 7y * 1 + 1 ^2 = 49y ^2 - 14y + 1;

8) (6p + 5g) ^2 = (6p) ^2 + 2 * 6p * 5g + (5g) ^2 = 36p^2 + 60 pg + 25g ^2.