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1. $a^{2} - 9$.
2. $y^{2} - 8y + 16$.
3. $x^{2} - 81y^{2}$.
4. $p^{2} + 6pq + 9q^{2}$.
5. $16x^{2} + 24x + 9$.
6. $- 4x^{2} + 4x - 1$.
7. $16a^{4} - 1$.
8. $(a - 2b)^{2} + 8ab$.
9. $\frac{x^{2}}{4} + xy + y^{2}$.
10. $9(x + y)^{2} - 6(x + y) + 1$.
11. $- a^{2} - \frac{1}{4}b^{2} + ab$.
12. $(a^{2} + 4)^{2} - 16a^{2}$.
2. $y^{2} - 8y + 16$.
3. $x^{2} - 81y^{2}$.
4. $p^{2} + 6pq + 9q^{2}$.
5. $16x^{2} + 24x + 9$.
6. $- 4x^{2} + 4x - 1$.
7. $16a^{4} - 1$.
8. $(a - 2b)^{2} + 8ab$.
9. $\frac{x^{2}}{4} + xy + y^{2}$.
10. $9(x + y)^{2} - 6(x + y) + 1$.
11. $- a^{2} - \frac{1}{4}b^{2} + ab$.
12. $(a^{2} + 4)^{2} - 16a^{2}$.
答案：
$1.(a + 3)(a - 3). 2.(y - 4)^{2}.$
$3.(x + 9y)(x - 9y). 4.(p + 3q)^{2}.$
$5.(4x + 3)^{2}. 6.-(2x - 1)^{2}.$
$7.(4a^{2} + 1)(2a + 1)(2a - 1). 8.(a + 2b)^{2}.$
$9.(\frac{1}{2}x + y)^{2}. 10.(3x + 3y - 1)^{2}.$
$11.-(a - \frac{1}{2}b)^{2}. 12.(a + 2)^{2}(a - 2)^{2}.$
$3.(x + 9y)(x - 9y). 4.(p + 3q)^{2}.$
$5.(4x + 3)^{2}. 6.-(2x - 1)^{2}.$
$7.(4a^{2} + 1)(2a + 1)(2a - 1). 8.(a + 2b)^{2}.$
$9.(\frac{1}{2}x + y)^{2}. 10.(3x + 3y - 1)^{2}.$
$11.-(a - \frac{1}{2}b)^{2}. 12.(a + 2)^{2}(a - 2)^{2}.$
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