Whakaoti i te 16-25x^2/3x+ydiv4x-5x^2/9x^2-y^2

$$\frac { 16 - 25 x ^ { 2 } } { 3 x + y } \div \frac { 4 x - 5 x ^ { 2 } } { 9 x ^ { 2 } - y ^ { 2 } }$$

Aromātai

$$\frac{\left(3x-y\right)\left(5x+4\right)}{x}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{16-25x^{2}}{3x+y} ki te \frac{4x-5x^{2}}{9x^{2}-y^{2}} mā te whakarea \frac{16-25x^{2}}{3x+y} ki te tau huripoki o \frac{4x-5x^{2}}{9x^{2}-y^{2}}.

$$\frac{\left(16-25x^{2}\right)\left(9x^{2}-y^{2}\right)}{\left(3x+y\right)\left(4x-5x^{2}\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{\left(-5x-4\right)\left(5x-4\right)\left(3x+y\right)\left(3x-y\right)}{x\left(-5x+4\right)\left(3x+y\right)}$$

Unuhia te tohu tōraro i roto o -4+5x.

$$\frac{-\left(-5x-4\right)\left(-5x+4\right)\left(3x+y\right)\left(3x-y\right)}{x\left(-5x+4\right)\left(3x+y\right)}$$

Me whakakore tahi te \left(-5x+4\right)\left(3x+y\right) i te taurunga me te tauraro.

$$\frac{-\left(-5x-4\right)\left(3x-y\right)}{x}$$

Me whakaroha te kīanga.

$$\frac{15x^{2}-5xy+12x-4y}{x}$$

Whakaroha

$$15x-5y-\frac{4y}{x}+12$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{16-25x^{2}}{3x+y} ki te \frac{4x-5x^{2}}{9x^{2}-y^{2}} mā te whakarea \frac{16-25x^{2}}{3x+y} ki te tau huripoki o \frac{4x-5x^{2}}{9x^{2}-y^{2}}.

$$\frac{\left(16-25x^{2}\right)\left(9x^{2}-y^{2}\right)}{\left(3x+y\right)\left(4x-5x^{2}\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{\left(-5x-4\right)\left(5x-4\right)\left(3x+y\right)\left(3x-y\right)}{x\left(-5x+4\right)\left(3x+y\right)}$$

Unuhia te tohu tōraro i roto o -4+5x.

$$\frac{-\left(-5x-4\right)\left(-5x+4\right)\left(3x+y\right)\left(3x-y\right)}{x\left(-5x+4\right)\left(3x+y\right)}$$

Me whakakore tahi te \left(-5x+4\right)\left(3x+y\right) i te taurunga me te tauraro.

$$\frac{-\left(-5x-4\right)\left(3x-y\right)}{x}$$

Me whakaroha te kīanga.

$$\frac{15x^{2}-5xy+12x-4y}{x}$$