Представьте в виде произведения 27+а^3

Question

Алгебра: Представьте в виде произведения 27+а^3

SaskaPups · Accepted Answer

1) = 144а^2 - 24ab + b^2 - (144a^2 - 16ab +18ab - 2b^2) =
= 144a^2 - 24ab + b^2 - 144a^2 + 16ab - 18ab + 2b^2 =
= 3b^2 - 26ab

2) = x(4x^2 -36x + 81) - 2x(225 + 30x + x^2) =
= 4x^3 - 36x^2 + 81x - 450x - 60x^2 - x^3 =
= 3x^3 - 90x^2 - 369x

3) = 0,8(x^2y^2 - 4xy + 4) + 1,2(x^2y^2 - 2xy + 1) =
= 0,8x^2y^2 - 3,2xy + 3,2 + 1,2x^2y^2 - 2,4xy + 1,2 =
= 2x^2y^2 - 5,6xy + 4,4

4) = x^2 + 4x + 4 - (x^2 - 3^2) =
= x^2 + 4x + 4 - x^2 + 81 = 4x + 85

5) = (7a)^2 - (5b)^2 - (16a^2 + 56ab +49b^2) =
= 49a^2 - 25b^2 - 16a^2 - 56ab - 49b^2 =
= 33a^2 - 74b^2- 56ab

6) = y^2 - 2y + 3y - 6 - (y^2 -2y +1) + (5y - y^2 + 25 - 5y) =
= y^2 + y - 6 - y^2 + 2y - 1 - y^2 + 25 =
= - y^2 + 3y + 19

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