x的平方加18x减144 分解因式。！
答案:2 悬赏:60 手机版
解决时间 2021-03-03 13:42
- 提问者网友：沉默菋噵
- 2021-03-02 13:15
x的平方加18x减144 分解因式。！
最佳答案
- 五星知识达人网友：动情书生
- 2021-03-02 14:36
x² + 18x - 144
= x² - 6x + 24x - 144
= x( x - 6 ) + 24( x - 6 )
= ( x - 6 )( x + 24 )
或者
= x² + 24x - 6x - 144
= x( x + 24 ) - 6( x + 24 )
= ( x - 6 )( x + 24 )
或者配方
= x² + 18x + 9 ²- 81 - 144
= ( x + 9 )² - 225
= ( x + 9 )²- 15²
= ( x + 9 - 15 )( x + 9 + 15 )
= ( x - 6 )( x + 24 )
= x² - 6x + 24x - 144
= x( x - 6 ) + 24( x - 6 )
= ( x - 6 )( x + 24 )
或者
= x² + 24x - 6x - 144
= x( x + 24 ) - 6( x + 24 )
= ( x - 6 )( x + 24 )
或者配方
= x² + 18x + 9 ²- 81 - 144
= ( x + 9 )² - 225
= ( x + 9 )²- 15²
= ( x + 9 - 15 )( x + 9 + 15 )
= ( x - 6 )( x + 24 )
全部回答
- 1楼网友：时间的尘埃
- 2021-03-02 15:54
x” + 18x - 144
= x” - 6x + 24x - 144
= x( x - 6 ) + 24( x - 6 )
= ( x - 6 )( x + 24 )
或者
= x” + 24x - 6x - 144
= x( x + 24 ) - 6( x + 24 )
= ( x - 6 )( x + 24 )
或者配方
= x” + 18x + 9” - 81 - 144
= ( x + 9 )” - 225
= ( x + 9 )” - 15”
= ( x + 9 - 15 )( x + 9 + 15 )
= ( x - 6 )( x + 24 )
= x” - 6x + 24x - 144
= x( x - 6 ) + 24( x - 6 )
= ( x - 6 )( x + 24 )
或者
= x” + 24x - 6x - 144
= x( x + 24 ) - 6( x + 24 )
= ( x - 6 )( x + 24 )
或者配方
= x” + 18x + 9” - 81 - 144
= ( x + 9 )” - 225
= ( x + 9 )” - 15”
= ( x + 9 - 15 )( x + 9 + 15 )
= ( x - 6 )( x + 24 )
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