1. a) 5a^2-10ab+5b^2
b) 2m^2-6m^2+6m=6m-4m^2
в) -3x^2-3xy-3y^2
г) 4n^2+8n^4-12n^5
д) 2b^3-2ab^3+8a^2b^2
e) -12c^3d-9c^4d+3c^5
2. a) 3n^6+6n^5-12n^4
b) -6m^4+4m^5-2m^6
v) 10x^2y^2-5x^3y^3-5x^4y^2
Здесь достаточно посчитать множители, их 5. Корней 5.
А) а3 - 2а2 + 2а - 4 = а2 • (a - 2) + 2 • (a - 2) = (а2<span> + 2)(a - 2); </span>
б) х3 - 12 + 6х2 - 2х = х2 • (x + 6) - 2 • (x + 6) = (х2<span> - 2)(x + 6); </span>
в) с4 - 2с2 + с3 - 2с = с3 • (c + 1) - 2c • (c + 1) = (с3<span> - 2c)(c + 1); </span>
г) -у6 - у5 + у4 + у3 = -у5• (y + 1) + y3<span> • (y + 1) = (y</span>3<span> - у</span>5)(y + 1);
д) а2b - b2с + а2с - bc2 = а2 • (b + c) - bc • (b + c) = (а2<span> - bc)(b + c); </span>
е) 2х3 + ху2 - 2х2у - у3 = 2х2 • (x - y) + y2<span> • (x - y) = = (2х</span>2<span> + y</span>2)(x - y);
ж) 16аb2 - 10с3 + 32ас2 - 5b2с = 16a • (b2<span> + 2c</span>2) - 5c • (b2<span> + 2c</span>2) = (16a - 5c)(b2<span> + 2c</span>2<span>); </span>
з) 6а3 - 21а2b + 2аb2 - 7b3 = 2a • (3а2<span> + b</span>2) - 7b • (3а2<span> + b</span>2) = (2a - 7b)(3а2+ b2<span>).</span>