代数式因式分解

通过提取公因式对代数式进行因式分解：先找出各项的最大公因式，再把代数式写成乘积形式，例如 6x + 9 = 3(2x + 3)。

Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3)

学习证据 / Evidence

• 找出表达式中所有项的最大公因式
• 把因式分解后的形式写成最大公因式与括号内式子的乘积
• 重新展开括号，检验因式分解是否正确

• Identify the highest common factor of all terms in an expression
• Write the factorised form as a product of the HCF and a bracket
• Check factorisation by expanding the brackets back out

评估问题 / Assessment

{{name}}看到“6x + 9”这样的表达式时，能提出公因式并改写成“3(2x + 3)”吗？

Can {{name}} look at an expression like "6x + 9" and rewrite it with the common factor taken out — as "3(2x + 3)"?