Subtract these polynomials?

👨🏻‍🏫 學術台數學

[匿名]

2016-07-18 11:30 pm

2a-5 a+1
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a^2-a-2 a^2+2a+1

更新1:

*I know they're close together but the numerators are 2a-5 and a +1. The denominators are a^2-a-2 and a^2+2a+1

回答 (1)

Lopez

2016-07-20 10:13 am

✔ 最佳答案

( 2a - 5 )/( a^2 - a - 2 ) - ( a + 1 )/( a^2 + 2a + 1 )
= ( 2a - 5 )/[ ( a - 2 )( a + 1 ) ] - ( a + 1 )/( a + 1 )^2
= ( 2a - 5 )/[ ( a - 2 )( a + 1 ) ] - 1/( a + 1 )
= [ ( 2a - 5 ) - ( a - 2 )] / [ ( a - 2 )( a + 1 ) ]
= ( a - 3 ) / [ ( a - 2 )( a + 1 ) ] ..... Ans

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