Question

Помогите пожалуйста!!

1) (t-p) (t+p) - (t-1) (t+7)

2) (y-2) (y+7) - (y+2) (y-7)

3) (5m-2n) (3m+5n) - (2,5m-3n) (4m+8n)

4) (p³-2q) (p²+2q) - (p²-2q) (p³+2q)​

Answer 1

Відповідь:

1. (t-p)(t+p) - (t-1)(t+7) = t^2 - p^2 - (t^2 - 6t - 7) = t^2 - p^2 - t^2 + 6t + 7 = 6t - p^2 + 7

2. (y-2)(y+7) - (y+2)(y-7) = y^2 + 5y - 2y - 14 - (y^2 - 7y + 2y - 14) = y^2 + 3y - 14 - y^2 + 5y - 14 = 8y - 28

3. (5m-2n)(3m+5n) - (2.5m-3n)(4m+8n) = 15m^2 + 25mn - 6mn - 10n^2 - (10m^2 - 12mn + 20mn - 24n^2) = 15m^2 + 25mn - 6mn - 10n^2 - 10m^2 + 32mn - 24n^2 = 5m^2 + 51mn - 34n^2

4. (p^3-2q)(p^2+2q) - (p^2-2q)(p^3+2q) = p^5 + 2p^3q - 2p^2q - 4q^2 - (p^5 - 2p^3q + 2p^2q - 4q^2) = p^5 + 2p^3q - 2p^2q - 4q^2 - p^5 + 2p^3q - 2p^2q + 4q^2 = 4p^3q - 4p^2q