Simplify Problem
回答 (3)
2007-04-12 11:55 pm
✔ 最佳答案
4 - x2 + 2x3 - x4= ( 2 + x )( 2 - x ) + x3( 2 - x )
= ( 2 - x )( x3 + x + 2 )
= ( 2 - x )( x + 1 )( x2 - x + 2 )
= ( 2 - x )( x + 1 )( x - 2 )( x + 1 )
參考: me~
2007-04-13 1:52 am
4 - x2 + 2x3 - x4
1. = ( 2 + x )( 2 - x ) + x3( 2 - x )
2. = ( 2 - x )( x3 + x + 2 )
3. = ( 2 - x )( x + 1 )( x2 - x + 2 )
4. = ( 2 - x )( x + 1 )( x - 2 )( x + 1 )
Answer : ( 2 - x )( x + 1 )( x - 2 )( x + 1 )
2007-04-13 07:36:58 補充：
Sorry, this is the correct question4-X^2+2X^3-X^4
2007-04-13 07:38:01 補充：
and the step 1= ( 2 + x )( 2 - x ) + x^3( 2 - x )
1. = ( 2 + x )( 2 - x ) + x3( 2 - x )
2. = ( 2 - x )( x3 + x + 2 )
3. = ( 2 - x )( x + 1 )( x2 - x + 2 )
4. = ( 2 - x )( x + 1 )( x - 2 )( x + 1 )
Answer : ( 2 - x )( x + 1 )( x - 2 )( x + 1 )
2007-04-13 07:36:58 補充：
Sorry, this is the correct question4-X^2+2X^3-X^4
2007-04-13 07:38:01 補充：
and the step 1= ( 2 + x )( 2 - x ) + x^3( 2 - x )
2007-04-13 12:05 am
4-X^2+2X^3-X^4
= - X^4 + 2X^3 - X^2 + 4
= - X^2(X^2 - 2X + 1) + 4
= - X^2(x - 1)^2 + 4
= - X^4 + 2X^3 - X^2 + 4
= - X^2(X^2 - 2X + 1) + 4
= - X^2(x - 1)^2 + 4
參考: ME
收錄日期: 2021-05-03 12:04:38
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