Разложите многочлен на множители: 11) x² + 2xy + y² 1-4t+4t²: 16-8s+ s² 12)-9a⁴+24a²b²-16b⁴ 30ab+25a²+9b²; (a²-2ab+b²) - t²: 13) d² - (9d²-12d+4) 9-(2x+3)² (a-2)²-(a+7)² 14) m³ + n³ 125x⁹ - 64y⁶ t³-216s³

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11) $$x^2 + 2xy + y^2 = (x+y)^2$$
$$1 - 4t + 4t^2 = (1-2t)^2$$
$$16 - 8s + s^2 = (4-s)^2$$
12) $$-9a^4 + 24a^2b^2 - 16b^4 = -(9a^4 - 24a^2b^2 + 16b^4) = -(3a^2 - 4b^2)^2 = -(3a^2 - 4b^2)(3a^2 - 4b^2) = (4b^2 - 3a^2)(4b^2 - 3a^2)$$
$$30ab + 25a^2 + 9b^2 = 25a^2 + 30ab + 9b^2 = (5a + 3b)^2$$
$$(a^2 - 2ab + b^2) - t^2 = (a-b)^2 - t^2 = (a-b-t)(a-b+t)$$
13) $$d^2 - (9d^2 - 12d + 4) = d^2 - (3d - 2)^2 = (d - (3d - 2))(d + (3d - 2)) = (d - 3d + 2)(d + 3d - 2) = (-2d + 2)(4d - 2) = 2(1 - d) cdot 2(2d - 1) = 4(1 - d)(2d - 1)$$
$$9 - (2x + 3)^2 = (3 - (2x + 3))(3 + (2x + 3)) = (3 - 2x - 3)(3 + 2x + 3) = (-2x)(2x + 6) = -4x(x + 3)$$
$$(a-2)^2 - (a+7)^2 = ((a-2) - (a+7))((a-2) + (a+7)) = (a - 2 - a - 7)(a - 2 + a + 7) = (-9)(2a + 5) = -9(2a + 5)$$
14) $$m^3 + n^3 = (m + n)(m^2 - mn + n^2)$$
$$125x^9 - 64y^6 = (5x^3)^3 - (4y^2)^3 = (5x^3 - 4y^2)((5x^3)^2 + (5x^3)(4y^2) + (4y^2)^2) = (5x^3 - 4y^2)(25x^6 + 20x^3y^2 + 16y^4)$$
$$t^3 - 216s^3 = t^3 - (6s)^3 = (t - 6s)(t^2 + 6st + 36s^2)$$