1) 2y^2-18 = 2) 2x^2-12x+18 = 3) 64a-a^3 = 4) x^3-10x^2+25x = 5) (3x+2) ^2 - (3x-1) ^2 = 6) 8x^4y-xy^4 = 7) - 3x-12x-12 = 8) 25y^5-3Y^2 = 9) 162b^3-2a^2b = 10) 30x-9x^3-70y+49y^2=

Question

Марк Шувалов

Математика

6 ноября, 21:26

1) 2y^2-18 = 2) 2x^2-12x+18 = 3) 64a-a^3 = 4) x^3-10x^2+25x = 5) (3x+2) ^2 - (3x-1) ^2 = 6) 8x^4y-xy^4 = 7) - 3x-12x-12 = 8) 25y^5-3Y^2 = 9) 162b^3-2a^2b = 10) 30x-9x^3-70y+49y^2=

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Вадим Кудрявцев · Answer 1

1) 2y^2 - 18 = 2 * (y^2 - 3^2) = 2 (y - 3) (y + 3);

2) 2x^2 - 12x + 18 = 2 * (x^2 - 2 * 3 * x + 3^2) = 2 (x - 3) ^2;

3) 64a - a^3 = 4^3 - a^3 = (4 - a) (16 + 4a + a^2);

4) x^3 - 10x^2 + 25x = x * (x^2 - 10x + 25) = x (x - 5) ^2;

5) (3x + 2) ^2 - (3x - 1) ^2 = 3 (6x + 1);

6) 8 * x^4 * y - x * y^4 = xy (2x - y) (4x^2 + 2xy + y^2);

7) - 3x - 12x - 12 = - 3 (x + 4x + 4);

8) 25y^5 - 3y^2 = y^2 * (25y^3 - 3);

9) 162b^3 - 2a^2b = 2b * (9b - a) * (9b + a);

10) 30x - 9x^3 - 70y + 49y^2 = 3x * (10 - 3x^2) - 7y * (10 - 7y).