9(a-b)^2-25(a+b)^2因式分解
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/25 01:11:46
9(a-b)^2-25(a+b)^2因式分解
![9(a-b)^2-25(a+b)^2因式分解](/uploads/image/z/19714082-50-2.jpg?t=9%28a-b%29%5E2-25%28a%2Bb%29%5E2%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
9(a-b)^2-25(a+b)^2
=[3(a-b)]^2-[5(a+b)]^2
=(3a-3b)^2-(5a+5b)^2
=[(3a-3b)+(5a+5b)][(3a-3b)-(5a+5b)]
=(3a-3b+5a+5b)(3a-3b-5a-5b)
=(8a+2b)(-2a-8b)
=-(8a+2b)(2a+8b)
=-4(4a+b)(a+4b)
看完了采纳哦~~祝学习进步!
=[3(a-b)]^2-[5(a+b)]^2
=(3a-3b)^2-(5a+5b)^2
=[(3a-3b)+(5a+5b)][(3a-3b)-(5a+5b)]
=(3a-3b+5a+5b)(3a-3b-5a-5b)
=(8a+2b)(-2a-8b)
=-(8a+2b)(2a+8b)
=-4(4a+b)(a+4b)
看完了采纳哦~~祝学习进步!