rút gọn biểu thức sau: P= ($\frac{4x-x^3}{1-4x^2}$-x):($\frac{4x^2-x^4}{1-4x^2}$ +1) 05/08/2021 Bởi Valentina rút gọn biểu thức sau: P= ($\frac{4x-x^3}{1-4x^2}$-x):($\frac{4x^2-x^4}{1-4x^2}$ +1)
`P=((4x-x^3)/(1-4x^2)-x):((4x^2-x^4)/(1-4x^2)+1)` `=(4x-x^3-x+4x^3)/(1-4x^2):(4x^2-x^4+1-4x^2)/(1-4x^2)` `=(3x^3+3x)/(1-4x^2):(1-x^4)/(1-4x^2)` `=(3x(x^2+1))/((1-x^2)(1+x^2))` `=(3x)/(1-x^2)` Bình luận
Rút gọn: `P=(frac\{4x-x^3}{1-4x^2}-x):(frac\{4x^2-x^4}{1-4x^2}+1)` `P=frac\{4x-x^3-x+4x^3}{1-4x^2}:frac\{4x^2-x^4+1-4x^2}{1-4x^2}` `P=frac\{3x^3+3x}{1-4x^2}:frac\{1-x^4}{1-4x^2}` `P=frac\{3x.(x^2+1)}{(1-x^2).(1+x^2)}` `P=frac\{3x}{1-x^2}` Bình luận
`P=((4x-x^3)/(1-4x^2)-x):((4x^2-x^4)/(1-4x^2)+1)`
`=(4x-x^3-x+4x^3)/(1-4x^2):(4x^2-x^4+1-4x^2)/(1-4x^2)`
`=(3x^3+3x)/(1-4x^2):(1-x^4)/(1-4x^2)`
`=(3x(x^2+1))/((1-x^2)(1+x^2))`
`=(3x)/(1-x^2)`
Rút gọn:
`P=(frac\{4x-x^3}{1-4x^2}-x):(frac\{4x^2-x^4}{1-4x^2}+1)`
`P=frac\{4x-x^3-x+4x^3}{1-4x^2}:frac\{4x^2-x^4+1-4x^2}{1-4x^2}`
`P=frac\{3x^3+3x}{1-4x^2}:frac\{1-x^4}{1-4x^2}`
`P=frac\{3x.(x^2+1)}{(1-x^2).(1+x^2)}`
`P=frac\{3x}{1-x^2}`