1) а) (a+2)(3a+1) = 3a^2 + 6a + a + 2 = 3a^2 + 7a + 2
b) (m+2n)(4n^2+2mn+m^2) = 4mn^2+8n^3+2m^2n+4mn^2+m^3+2m^2n =
= 8n^3 + 8mn^2 + 4m^2n + m^3
2) a) 3u^2 - 6u^3 + 9u^5 = 3u^2*(1 - 2u + 3u^3)
b) 24l^3m^3 - 16k^2l^6m^2 - 32kl^2m^4 = 8l^2m^2*(3lm - 2k^2l^4 - 4km^2)
3) a) (16c^4 + 32c^5 - 24c^7) : (8c^3) = 2c + 4c^2 - 3c^4
b) (4x^3y^5z^3-x^3y^4z^5-5x^2y^3z^5):(y^3z^2) = 4x^3y^2z-x^3yz^3-5x^2z^3
4) (2p^2+5p+2)(7-3p) - (1+2p)(14+2p-3p^2) =
= (2p+1)(p+2)(7-3p) - (2p+1)(14+2p-3p^2) =
= (2p+1)[(7p+14-3p^2-6p) - (14+2p-3p^2)] = (2p+1)(14+p-3p^2-14-2p+3p^2) =
= (2p+1)(-p) = -2p^2 - p
5) 7^12 - 13*7^10 + 5*7^11 = 7^10*(7^2 - 13 + 5*7) = 7^10*(49-13+35) = 7^10*71
Верно!