2. 计算:
(1) $(a+3b)(a-3b)$;
(2) $(3+2a)(-3+2a)$;
(3) $(xy+1)(x^2y^2+1)(xy-1)$;
(4) $(3x+4)(3x-4)-(2x+3)(3x-2)$.
(1) $(a+3b)(a-3b)$;
(2) $(3+2a)(-3+2a)$;
(3) $(xy+1)(x^2y^2+1)(xy-1)$;
(4) $(3x+4)(3x-4)-(2x+3)(3x-2)$.
答案:2. (1) $a^2-9b^2$.
(2) $4a^2-9$.
(3) $x^4y^4-1$.
(4) $3x^2-5x-10$.
(2) $4a^2-9$.
(3) $x^4y^4-1$.
(4) $3x^2-5x-10$.
3. 运用平方差公式计算:
(1) $51 × 49$;
(2) $200\frac{1}{5} × 199\frac{4}{5}$。
(1) $51 × 49$;
(2) $200\frac{1}{5} × 199\frac{4}{5}$。
答案:3. (1) 2 499.
(2) $39\ 999\frac{24}{25}$.
(2) $39\ 999\frac{24}{25}$.