Whakaoti i te 1-4x^2/x^2+4x:2-4x/3x

$$\frac { 1 - 4 x ^ { 2 } } { x ^ { 2 } + 4 x } : \frac { 2 - 4 x } { 3 x }$$

Aromātai

$$\frac{3\left(2x+1\right)}{2\left(x+4\right)}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{1-4x^{2}}{x^{2}+4x} ki te \frac{2-4x}{3x} mā te whakarea \frac{1-4x^{2}}{x^{2}+4x} ki te tau huripoki o \frac{2-4x}{3x}.

$$\frac{\left(1-4x^{2}\right)\times 3x}{\left(x^{2}+4x\right)\left(2-4x\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{3x\left(-2x-1\right)\left(2x-1\right)}{2x\left(x+4\right)\left(-2x+1\right)}$$

Unuhia te tohu tōraro i roto o -1+2x.

$$\frac{-3x\left(-2x-1\right)\left(-2x+1\right)}{2x\left(x+4\right)\left(-2x+1\right)}$$

Me whakakore tahi te x\left(-2x+1\right) i te taurunga me te tauraro.

$$\frac{-3\left(-2x-1\right)}{2\left(x+4\right)}$$

Me whakaroha te kīanga.

$$\frac{6x+3}{2x+8}$$

Whakaroha

$$\frac{3\left(2x+1\right)}{2\left(x+4\right)}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{1-4x^{2}}{x^{2}+4x} ki te \frac{2-4x}{3x} mā te whakarea \frac{1-4x^{2}}{x^{2}+4x} ki te tau huripoki o \frac{2-4x}{3x}.

$$\frac{\left(1-4x^{2}\right)\times 3x}{\left(x^{2}+4x\right)\left(2-4x\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{3x\left(-2x-1\right)\left(2x-1\right)}{2x\left(x+4\right)\left(-2x+1\right)}$$

Unuhia te tohu tōraro i roto o -1+2x.

$$\frac{-3x\left(-2x-1\right)\left(-2x+1\right)}{2x\left(x+4\right)\left(-2x+1\right)}$$

Me whakakore tahi te x\left(-2x+1\right) i te taurunga me te tauraro.

$$\frac{-3\left(-2x-1\right)}{2\left(x+4\right)}$$

Me whakaroha te kīanga.

$$\frac{6x+3}{2x+8}$$