展开双括号
Expanding Double Brackets
展开两个或多个二项式的乘积,例如 (x + 3)(x - 2) = x² + x - 6,可使用网格法或FOIL法;展开后合并同类项,化简结果。
Expand products of two or more binomials, e.g., (x + 3)(x - 2) = x² + x - 6, using the grid method or FOIL; simplify the result by collecting like terms
学习证据 / Evidence
- 用系统方法(网格法或FOIL法)展开两个二项式的乘积。
- 展开后合并同类项,化简结果。
- 正确展开含有负项的乘积。
- Expand the product of two binomials using a systematic method (grid or FOIL)
- Collect like terms after expansion to simplify the result
- Expand products involving negative terms correctly
评估问题 / Assessment
{{name}}能展开像 (x + 3)(x − 2) 这样的两个括号,并合并同类项得到 x² + x − 6 吗?
Can {{name}} multiply out two brackets like (x + 3)(x − 2) and collect the terms to get x² + x − 6?