Whakaoti i te frac{9x^{2}-25y^{2}}{27x^{3}-125y^{3}}div6x+10y/5x-25y*9x^2+15xy+25y^2/9x^2-18xy+5y^2=

$$\frac { 9 x ^ { 2 } - 25 y ^ { 2 } } { 27 x ^ { 3 } - 125 y ^ { 3 } } \div \frac { 6 x + 10 y } { 5 x - 25 y } \cdot \frac { 9 x ^ { 2 } + 15 x y + 25 y ^ { 2 } } { 9 x ^ { 2 } - 18 x y + 5 y ^ { 2 } } =$$

Aromātai

$$\frac{5\left(x-5y\right)}{2\left(3x-y\right)\left(3x-5y\right)}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{9x^{2}-25y^{2}}{27x^{3}-125y^{3}} ki te \frac{6x+10y}{5x-25y} mā te whakarea \frac{9x^{2}-25y^{2}}{27x^{3}-125y^{3}} ki te tau huripoki o \frac{6x+10y}{5x-25y}.

$$\frac{\left(9x^{2}-25y^{2}\right)\left(5x-25y\right)}{\left(27x^{3}-125y^{3}\right)\left(6x+10y\right)}\times \frac{9x^{2}+15xy+25y^{2}}{9x^{2}-18xy+5y^{2}}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{\left(9x^{2}-25y^{2}\right)\left(5x-25y\right)}{\left(27x^{3}-125y^{3}\right)\left(6x+10y\right)}.

$$\frac{5\left(x-5y\right)\left(3x-5y\right)\left(3x+5y\right)}{2\left(3x-5y\right)\left(3x+5y\right)\left(9x^{2}+15xy+25y^{2}\right)}\times \frac{9x^{2}+15xy+25y^{2}}{9x^{2}-18xy+5y^{2}}$$

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

$$\frac{5\left(x-5y\right)}{2\left(9x^{2}+15xy+25y^{2}\right)}\times \frac{9x^{2}+15xy+25y^{2}}{9x^{2}-18xy+5y^{2}}$$

Me whakarea te \frac{5\left(x-5y\right)}{2\left(9x^{2}+15xy+25y^{2}\right)} ki te \frac{9x^{2}+15xy+25y^{2}}{9x^{2}-18xy+5y^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\left(x-5y\right)\left(9x^{2}+15xy+25y^{2}\right)}{2\left(9x^{2}+15xy+25y^{2}\right)\left(9x^{2}-18xy+5y^{2}\right)}$$

Me whakakore tahi te 9x^{2}+15xy+25y^{2} i te taurunga me te tauraro.

$$\frac{5\left(x-5y\right)}{2\left(9x^{2}-18xy+5y^{2}\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x-5y.

$$\frac{5x-25y}{2\left(9x^{2}-18xy+5y^{2}\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 9x^{2}-18xy+5y^{2}.

$$\frac{5x-25y}{18x^{2}-36xy+10y^{2}}$$

Whakaroha

$$-\frac{5\left(5y-x\right)}{2\left(y-3x\right)\left(5y-3x\right)}$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{9x^{2}-25y^{2}}{27x^{3}-125y^{3}} ki te \frac{6x+10y}{5x-25y} mā te whakarea \frac{9x^{2}-25y^{2}}{27x^{3}-125y^{3}} ki te tau huripoki o \frac{6x+10y}{5x-25y}.

$$\frac{\left(9x^{2}-25y^{2}\right)\left(5x-25y\right)}{\left(27x^{3}-125y^{3}\right)\left(6x+10y\right)}\times \frac{9x^{2}+15xy+25y^{2}}{9x^{2}-18xy+5y^{2}}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{\left(9x^{2}-25y^{2}\right)\left(5x-25y\right)}{\left(27x^{3}-125y^{3}\right)\left(6x+10y\right)}.

$$\frac{5\left(x-5y\right)\left(3x-5y\right)\left(3x+5y\right)}{2\left(3x-5y\right)\left(3x+5y\right)\left(9x^{2}+15xy+25y^{2}\right)}\times \frac{9x^{2}+15xy+25y^{2}}{9x^{2}-18xy+5y^{2}}$$

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

$$\frac{5\left(x-5y\right)}{2\left(9x^{2}+15xy+25y^{2}\right)}\times \frac{9x^{2}+15xy+25y^{2}}{9x^{2}-18xy+5y^{2}}$$

Me whakarea te \frac{5\left(x-5y\right)}{2\left(9x^{2}+15xy+25y^{2}\right)} ki te \frac{9x^{2}+15xy+25y^{2}}{9x^{2}-18xy+5y^{2}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\left(x-5y\right)\left(9x^{2}+15xy+25y^{2}\right)}{2\left(9x^{2}+15xy+25y^{2}\right)\left(9x^{2}-18xy+5y^{2}\right)}$$

Me whakakore tahi te 9x^{2}+15xy+25y^{2} i te taurunga me te tauraro.

$$\frac{5\left(x-5y\right)}{2\left(9x^{2}-18xy+5y^{2}\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x-5y.

$$\frac{5x-25y}{2\left(9x^{2}-18xy+5y^{2}\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 9x^{2}-18xy+5y^{2}.

$$\frac{5x-25y}{18x^{2}-36xy+10y^{2}}$$