Question

Преобразуйте в многочленб)(a^2 - 1)(a^3 - 1) в)(3 + b^3)(b^3 - 4) г)(2y^2-3)(y^2 + 2) д)(a^2 - b^2)(a - b) е)(m^2 + 3n)(m^2 - n) ж)(a + 2n^2)(a^2 + n) з)(x^2 - a)(x^2 + a) и)(3 + c^3)(5 - c^2)

Answer 1

Б)a5-a2-a3+1
в)3b3-12+b6-4b3
г)2y4+4y2-3y2-6=2y4+y2-6
д)a3-a2b-ab2+b3
е)m4-nm2+3nm2-3n2=m4+2nm2=3n2
ж)a3+an+2a2n2+2n3
з)x4-a2
и)15-3c2+15c3-c5

Answer 2

а) (a^2 - 1)(a^3 - 1) = a^5 - a^3 - a^2 + 1

в) (3 + b^3)(b^3 - 4) = 3b^3 - 12 + b^6 - 4b^3 = b^6 - b^3 - 12

г) (2y^2 - 3)(y^2 + 2) = 2y^4 + 4y^2 - 3y^2 - 6 = 2y^4 + y^2 - 6

д) (a^2 - b^2)(a + b) = a^3 + ab - ab - b^3 = a^3 - b^3

е) (m^2 + 3n)(m^2 - n) = m^4 - mn + 3m^2n - 3n^2

ж) (a + 2n^2)(a^2 + n) = a^3 + an + 2n^2a^2 + 2n^3

з) (x^2 - a)(x^2 + a) = x^4 - ax^2 + ax^2 - a^2 = x^4 - a^2

и) (3 + c^3)(5 - c^2) = 15 - 3c^2 + 5c^3 - c^5