Question

初中分式计算题

4x/(4x+3y)+3/(1+3y)=
过程要有。

Answer 1

4x/(4x+3y)+3/(1+3y)=（两边同乘(4x+3y)(1+3y)）
4x(1+3y)+3(4x+3y)=
4X+3y+12x+9y=16x+12y

Answer 2

4x/(4x+3y)+3/(1+3y)
=[4x(1+3y)]/[(4x+3y)(1+3y)]+[3(4x+3y)]/[(4x+3y)(1+3y)]
=[4x(1+3y)+3(4x+3y)]/[(4x+3y)(1+3y)]
=(4x+12xy+12x+9y)/(4x+12xy+3y+9y²)
=(16x+12xy+9y)/(4x+12xy+3y+9y²)