《2025年通城学典初中数学运算能手七年级数学下册湘教版》

1. $(x + 6)(x - 6) =$ ____________ 2. $(2y + 3)(2y - 3) =$ ____________
3. $(a - 2b)(a + 2b) =$ ____________ 4. $(3t - 5d)(3t + 5d) =$ ____________
5. $\left(-\frac{1}{6}k + 3\right)\left(-\frac{1}{6}k - 3\right) =$ ________ 6. $(-0.4z - 5y)(5y - 0.4z) =$ ________
7. $(x + \_\_\_)(x - \_\_\_) = x^{2} - 4y^{2}$ 8. $(t + \_\_\_)(t - \_\_\_) = t^{2} - 1\frac{7}{9}$
9. $(3m + 5n)(\_\_\_\_) = 25n^{2} - 9m^{2}$ 10. $(\_\_\_\_)\left(3 - \frac{1}{4}c^{3}\right) = \frac{1}{16}c^{6} - 9$

答案： 1. $x^{2}-36$ 2. $4y^{2}-9$ 3. $a^{2}-4b^{2}$ 4. $9t^{2}-25d^{2}$ 5. $\frac{1}{36}k^{2}-9$ 6. $0.16z^{2}-25y^{2}$ 7. $2y$ $2y$ 8. $\frac{4}{3}$ $\frac{4}{3}$ 9. $5n - 3m$ 10. $-\frac{1}{4}c^{3}-3$

11. $(-2m + 3n)(-2m - 3n)$ 12. $\left(\frac{3}{4}m - 2n\right)\left(\frac{3}{4}m + 2n\right)$
13. $\left(\frac{1}{4}x^{2} + q^{3}\right)(0.25x^{2} - q^{3})$ 14. $(w^{4} - 0.3t^{3})(w^{4} + 0.3t^{3})$
15. $(-y^{n} - 5)(y^{n} - 5)$（$n$为正整数） 16. $1000.2×999.8$
17. $(1 - 2m)(2m + 1)(4m^{2} + 1)$

答案： 11. $4m^{2}-9n^{2}$ 12. $\frac{9}{16}m^{2}-4n^{2}$ 13. $\frac{1}{16}x^{4}-q^{6}$ 14. $w^{8}-0.09t^{6}$ 15. $25 - y^{2n}$ 16. $999999.96$ 17. $1 - 16m^{4}$