亲亲们知道这个式子是怎么化出来的吗?
1个回答
2022-11-10
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(3m²+2m+5) / (4m²+6)
= (6m²+4m+10) / (8m²+12) ;分子分母同乘以2
= [ (6m²+9) + (4m+1) ] / (8m²+12) ;分子拆分为两部分
= (6m²+9) / (8m²+12) + (4m+1) / (8m²+12) ;对两部分分别化简
= [ 3(2m²+3) ] / [ 4(2m²+3) ] + (4m+1) / (8m²+12) ;提取公因数
= 3/4 + (4m+1) / (8m²+12)
= (6m²+4m+10) / (8m²+12) ;分子分母同乘以2
= [ (6m²+9) + (4m+1) ] / (8m²+12) ;分子拆分为两部分
= (6m²+9) / (8m²+12) + (4m+1) / (8m²+12) ;对两部分分别化简
= [ 3(2m²+3) ] / [ 4(2m²+3) ] + (4m+1) / (8m²+12) ;提取公因数
= 3/4 + (4m+1) / (8m²+12)
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