Pagnoxssme ua surowsumersu: 1) $$ a^{2}-9 $$ $$ b^{2}+10 b+25 $$ $$ 25 x^{2}-16 $$ $$ 9 x^{2}-12 x y+4 y^{2} $$ $$ 5 a^{2}-20 a b $$ 6) $$ 7 x^{3}-14 x^{5} $$ 7) $$ 3 a-3 b+a x-b x $$ 8) $$ 17 x^{2}-17 $$ 9) $$ 8 a^{2} b^{2}-72 a^{2} c^{2} $$

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Конечно, вот разложения на множители для заданных выражений:

1) $$ a^{2} - 9 $$
$$ a^{2} - 9 = (a - 3)(a + 3) $$

2) $$ b^{2} + 10b + 25 $$
$$ b^{2} + 10b + 25 = (b + 5)^{2} $$

3) $$ 25x^{2} - 16 $$
$$ 25x^{2} - 16 = (5x - 4)(5x + 4) $$

4) $$ 9x^{2} - 12xy + 4y^{2} $$
$$ 9x^{2} - 12xy + 4y^{2} = (3x - 2y)^{2} $$

5) $$ 5a^{2} - 20ab $$
$$ 5a^{2} - 20ab = 5a(a - 4b) $$

6) $$ 7x^{3} - 14x^{5} $$
$$ 7x^{3} - 14x^{5} = 7x^{3}(1 - 2x^{2}) $$
$$ \text{(можно дополнительно разложить как } 7x^{3}(1 - \sqrt{2}x)(1 + \sqrt{2}x) \text{)} $$

7) $$ 3a - 3b + ax - bx $$
$$ 3a - 3b + ax - bx = (a - b)(3 + x) $$

8) $$ 17x^{2} - 17 $$
$$ 17x^{2} - 17 = 17(x^{2} - 1) = 17(x - 1)(x + 1) $$

9) $$ 8a^{2}b^{2} - 72a^{2}c^{2} $$
$$ 8a^{2}b^{2} - 72a^{2}c^{2} = 8a^{2}(b^{2} - 9c^{2}) = 8a^{2}(b - 3c)(b + 3c) $$
1) $$ a^{2} - 9 = (a - 3)(a + 3) $$ 2) $$ b^{2} + 10b + 25 = (b + 5)^{2} $$ 3) $$ 25x^{2} - 16 = (5x - 4)(5x + 4) $$ 4) $$ 9x^{2} - 12xy + 4y^{2} = (3x - 2y)^{2} $$ 5) $$ 5a^{2} - 20ab = 5a(a - 4b) $$ 6) $$ 7x^{3} - 14x^{5} = 7x^{3}(1 - 2x^{2}) $$ 7) $$ 3a - 3b + ax - bx = (a - b)(3 + x) $$ 8) $$ 17x^{2} - 17 = 17(x - 1)(x + 1) $$ 9) $$ 8a^{2}b^{2} - 72a^{2}c^{2} = 8a^{2}(b - 3c)(b + 3c) $$

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